







A scale factor 
20190319 

From Miracle: A man in a photograph is 2cm tall. His actual height is 1.8m. Write a scale statement and determine the scale factor. Answered by Penny Nom. 





A scale factor 
20190127 

From Hannah: What is the scale factor of 36 meters and 1.5 centimeters? Answered by Penny Nom. 





Scale factor 
20171103 

From Hannah: I do not understand it...... What is the scale factor for 9 cenimeters = 1 meter Answered by Penny Nom. 





A scale factor 
20160413 

From tonya: What is the scale factor for the two figures regular octagon with 15 and 9 written in decimal form Answered by Penny Nom. 





Scale 
20150724 

From Kenneth:
Hello:
Can you explain mathematically how the following scales become inches to feet?
For example, how does the scale of 1:160 become 1/16" = 1'?
(1:160) (1/16" = 1 foot) scale
(1:87) (1/8" = 1 foot) scale
I saw more of these different scale examples at the following:
http://www.oakridgehobbies.com/hobbyshop/modelinginscaledimensionsfaqs.html
I thank you for your reply! Answered by Robert Dawson and Harley Weston. 





Reducing the size of a poster by a scale factor of 1/3 
20140401 

From deeshon: eric is making a smaller copy of a poster that measures 20.4 cm wide by 34.2 cm long.he reduces the original by a scale factor of 1/3.what are the dimensions of the copy Answered by Penny Nom. 





2 rectangular prisms are similar by a scale of 0.75 
20140316 

From gina: 2 rectangular prisms are similar by a scale of 0.75. The volume of the smaller prism is 27cm3 (cubed). How many cubic centimeters is the volume of the larger prism? Answered by Penny Nom. 





The volume of scale in a pipe 
20140308 

From Sid: What is the estimated volume of scale (Liters) if you have a 12 inch ID pipe,300 feet long with scale 1/2 inch thick. Please show me the method and formula. Thank you for your assistance. Answered by Penny Nom. 





A scalene triangle 
20140107 

From cherry: Hi
I have been given a scalene triangle of sides 
8m, 6m, and 10m ..
Please help me to find out the area and help me to find out the height .. Answered by Penny Nom. 





Reducing by a scale factor of 1/3 
20111121 

From Sandra: A rectangle with the dimensions of 6.3 cm and 5.8 cm is reduced by a scale factor of 1/3. What are the dimensions of the new image? Answered by Penny Nom. 





A scale drawing 
20111030 

From aretha: i have a scale drawing of a house floor plan, don't understand how
to find the answer. the drawing is 1in: 3ft. need to find the length /
width/and the actual length/width of the living room,kitchen, 3bedrooms
deck,sitting room, entry, and closet Answered by Penny Nom. 





A scale of 1:160 
20110502 

From Dave: a 4 foot by 8 foot sheet of plywood is how many acres in a scale (1:160) Answered by Penny Nom. 





Ramon has 6 puppies 
20110417 

From Mary: Ramon has 6 puppies. Five of the 6 weigh the same and one puppy is heavier. If Ramon had a balance scale, what is the least number of times he could weigh the puppies to be sure he could determine which puppy was heavier? Answered by Penny Nom. 





Scale factor 
20110125 

From Mackenzie: hi my problem is:
a man that is 6 feet tall in real life and only .5 inches in a =
photograph. what is the scale factor and scale of the photograph?
another:
a girl in the same photograph is 4.8 feet tall. How tall is she in the =
picture?= Answered by Chris Fisher. 





The height of an iceberg 
20101216 

From Sharon: if an iceberg can be seen 10% or 70 meters above the water, what is the measurement in meters of the iceberg below the surface of the water? Answered by Robert Dawson and Penny Nom. 





Can determine if it is scalene, isosceles, or equilateral 
20101201 

From Jessie: find the measures of the sides of triangle KPL and classify each triangle by its sides. my first problem would be K(3,2) P(2,1) L(2,3) ...The three points they give you are the vertices of the triangle and you need to match them up. Draw the triangle and write in the vertices and the related point with the vertex. You will then do the distance formula three times to find the distance of all three sides. Once you have the three sides you can determine if it is scalene, isosceles, or equilateral...using the distance formula how do i solve this? Answered by Penny Nom. 





A scale drawing 
20101117 

From chandler: A parking lot 200 meters wide; 1 centimeter:25 meters, find the length on the scale drawing and the scale factor Answered by Penny Nom. 





A scale factor 
20101017 

From david: We have to rectangles with measurements and we need to find the scale factor. The rectangles are W=6 L=4 for first and second is W=4 and L=3.
thanks for your help Answered by Penny Nom. 





A shrunken car 
20100731 

From Diana: Car manufacturers have outdone themselves. They have discovered how to shrink a car to make parking easier. At the touch of a button, a car shrinks by 2 feet in the width and 4 feet in the length. The original car base is 24 square feet longer than that of the shrunken car. If the original cars length is twice the width, find the dimensions of both cars. Identify the unknowns carefully. Answered by Penny Nom. 





Weighing a 1000 lb cylinder on a 500 lb scale 
20100528 

From Jerry: I am trying to weigh a large possibly 1000 lb cylinder on a 500 lb scale, is this possible? If so what is the actual formula to figure out the correct weight? I am told it is possible with the fulcrum method but have not been able to find a formula. Thanks Jerry Answered by Robert Dawson. 





A scale model of a city 
20100518 

From Briana: Well I have to create a three dimensional city for a geometry project and it requires us to use precise scal factor and well we want to build a medium sized city but our teacher said that If we make or buildings to high our houses would look like super small compared to the tall building were trying to figure out if we were to build a medium sized city what scale factor should we use to make the houses big enough to see and design? Answered by Walter Whiteley and Tyler Wood. 





Scale factor 
20100202 

From Darlene: A towers actual height is 300m. An architect makes a scale drawing using a scale factor of 0.0001
A) how tall is the tower in the drawing?
B) if the drawing was 4cm high, what would the scale factor be? Answered by Penny Nom. 





A drawing of a baseball diamond 
20091109 

From Beth: My husband has a drawn diagram on a piece of paper of a baseball diamond. He knows that on the paper 1 1/16" (1.6875") = 90 actual feet. How do we calculate how many feet 5 7/8" on the paper would be? Answered by Penny Nom. 





Constructing a scale model 
20090927 

From Colleen: What is the formula i need to use to find out how to state a reasonable scale in the question below;
Suppose you were constructing a model that must sit on a piece of cardboard that is 22cm by 28cm. STATE THE REASONABLE SCALE that you can use to build a model to represent the following items. Determine the dimensions of the model.
a) a rectangular prism with a length of 5m and a width of 2m? Answered by Penny Nom. 





Dimensions 
20090729 

From Deborah: The blueprint for landscaping a yard has a scale of 1/2" to 1 foot. If the blueprint is a rectangle 18 inches by 22 inches, what are the dimensions of the yard? Answered by Robert Dawson. 





Find out the length of a cup when its volume is halved 
20090525 

From Thomas: I'm having trouble with a question.
What kind of formula would i use to find out the length of a cup when its volume is halved? Answered by Stephen La Rocque. 





The dimensions of a larger cup 
20090523 

From Elizabeth: Hey
If i have a cup that holds a volume of 477mL and the bottom radius is 2.8cm and the top radius is 4.9cm and the height is 10cm. If i increase the volume by one and a half times what is the new measurements if the cup is directly proportional to the first one.
Thank you Answered by Stephen La Rocque and Penny Nom. 





A 1.5:1 rectangle 
20090323 

From melody: I have an origami model that says to use a 1.5:1 rectangle. I don't understand how to calculate the size of paper I need to use. Surely there is a formula to calculate this ratio? Thanks for your help. Answered by Penny Nom. 





The scale for a model train 
20090313 

From Shelly: Lindy is planning to build a model of a train using a scale where 2 inches represents 25ft. If the train is 60 feet long, what is the length in inches that Lindy should build the model of the train? Answered by Stephen La Rocque and Penny Nom. 





Surface area and scale factors 
20090221 

From tina: the surface area of a sphere is about 86 ft (2) find the surface area of a larger sphere that has a scale factor of 4 Answered by Penny Nom. 





Perimeters and scale factors 
20090124 

From dennis: I have this work that says how are the value of the ratios for the perimeters related to the scale factor? PLEASE HELP ME OUT Answered by Harley Weston. 





A quadrilateral with exactly 1 pair of parallel sides and no congruent sides 
20081210 

From alie: a quadrilateral with exactly 1 pair of parallel sides and no congruent sides is what? Answered by Robert Dawson. 





Scaling a logo 
20081020 

From Carl: Hello!
I hope that you can help me out here. I've been trying to figure this out for awhile now and can't come up with the answer logically.
I am a graphic designer by trade and need to figure out how large my client's logo should be.
The logo will need to be sized proportionally with the surface area of the page.
The logo will always be sized at 1.2938(w) x .75(h) on a letter size page (8.5 x 11).
My question is...
When you increase the size of the page (not always proportionally sized  dimensionally) how do figure out the NEW size of the logo.
I could have a page 20" x 40" or 30' x 4'... or ANY size really.
I believe I have the new surface area of the logo but can't find the new dimensions. Answered by Harley Weston. 





Scale factor 
20080528 

From Riley: I have a math problem, and a big test coming up on Friday or Thursday (my teacher hasn't decided yet.) I need help understanding how
I would do this problem. Here it is: they wanted me to find the perimeter and area of a rectangle when they only give me the scale factor. I've
delt with scale factors before, but this is quite confusing. I have done the scale factor way by having a rectangle that maybe has a width of 10 and a
height of 20, and I needed to find what the scale factor would be for a rectangle with the width of 5 and a height of 10. I know that they scale factor
would be 2, right? But this just gives me the scale factor, and I have to FIND the perimeter and area. Hopefully you can get back to me tonight. Answered by Harley Weston. 





The ratio of their perimeters to two regular hexagons 
20080429 

From td: Two regular hexagons have areas of 54 square root of 3 and 150 square root of 3, what is the ratio of their perimeters? Answered by Stephen La Rocque. 





A dilation project 
20080312 

From john: I am working on a dilation project.
How do I dilate an irregular octagon on a scale of 3.5 Answered by Stephen La Rocque. 





The angles of a triangle 
20080301 

From Allen: How to find the other two angles of a scalene triangle if one angle is given Answered by Steve La Rocque and Penny Nom. 





Two regular pentagons 
20080227 

From Shirley: Regular pentagon QRSTU has a side length of 12 centimeters and an area of
248 square centimeters. Regular pentagon VWXYZ has a perimeter of 140
centimeters.
I need to find its area. Answered by Stephen La Rocque. 





Scale factors 
20080213 

From Dayne: My teacher doesn't now how to teach us scale factors and i have a problem to make it easier to understand. The problem is: A map of Levi's property is being made with a scale of 2 cm : 3 meters. What is the scale factor? Answered by Stephen La Rocque. 





Classifying a triangle 
20080207 

From kevin: scalene triangle 8 ft base right side 9.5 left side 12 ft what is the angles Answered by Penny Nom. 





A bronze statue is made in two sizes. 
20071217 

From Sara: Hello!
A bronze statue is made in two sizes.
The taller statue is 15 cm high and the shorter one is 9 cm high.
The taller statue weighs 3.75 kg. What is the weight of the shorter statue? Answered by Penny Nom. 





A 300 ton train locomotive is built at exact half scale in all dimensions 
20071216 

From Normand: When a 300 ton train locomotive is built at exact half scale in all dimensions
we assumed the weight would be 150 tons.
Like a bar of solid steel cut in half would be.
Why does this not work out?
What are we missing here? Answered by Penny Nom. 





What length scale factor should he use? 
20071216 

From Lisa: Hi! Joe wants to enlarge a picture so that its area is doubled.
What length scale factor should he use? Answered by Penny Nom. 





The scale of a picture 
20071130 

From Sylvia: 1. A artist draws a picture of a house with a rose brush in front. In his picture the rose brush is 1.5 cm high and the house is 7.5 cm high. In reality the rose brush is 0.75 m high. How tall is the house in reality (in meters)? Explain
2. There are six short pieces of link chain. Each having four links. It takes 10 sec to cut a link and 25 sec to weld it back together. What is the shortest possible time to make the longest chain? Explain Answered by Penny Nom. 





Question 
20070828 

From Reneilwe: Above is a plan of a house. The scale is 1 cm = 0,8 metres.
3.1 Describe briefly the rooms you come to as you go through the front door
and down the passage. Say whether each room is on your left, right, ahead,
etc
3.2 Find the actual dimensions of the bathroom (length and breadth)
3.3 Give the length of the passage in metres.
3.4 Give the area of a carpet needed to cover the passage
3.5 A child is in the lounge, at the door into the passage. He pushes a toy
car, and it take 2 seconds to go from one end of the passage to the other.
Calculate the speed at which the car travels, first in metres per second,
then in kilometres per hour. Give the answer correct to 1 decimal place. Answered by Penny Nom. 





A model for a building 
20070717 

From Carl: A model for a building is 50 centimeters long, 38 centimeters wide, and 225 centimeters tall
on model 1 centimeter represents 2.5 meters.
I need to find the volume of the actual building in cubic meters,and the surface area of the building including
ceilings and floors. round to the nearest tenth of a square meter. Answered by Harley Weston. 





A scale factor 
20070528 

From Chandler: I am rather confused about finding the area of a triangle they give me the area of the larger triangle it is 25 units but I can't figure out how to find the area of the smaller triangle the scale is 3:5 please help me ASAP. Thanks so much I really appreciate it oh the triangles are similar Answered by Stephen La Rocque and Penny Nom. 





Altitudes of scalene triangles 
20070517 

From Chris: Two of the altitudes of a scalene triangle ABC have length 4 and 12.
If the length of the third altitude is also an integer, what is the biggest
that it can be? Answered by J. Chris Fisher. 





Comparing two pay scales 
20070503 

From san: Mable is offered a job selling magazine subscriptions. She has the choice of two pay scales.
Pay scale 1:
She can be paid $0.65 for each subscription she sells.
Pay scale 2:
She can be paid $0.10 for the first subscription, with the wage gong up $0.05 more for each subscription after the first.
For her first sale she would make $0.10, for her second sale she would make $0.15, for her third sale she would make $0.20,
and so on.
Please compare and analyze the two scales. Which scale is better? Answered by Penny Nom. 





A scale factor 
20070418 

From QueenB: Lindy is Planning To Build a Model Train Using A Scale Where 2 inches represents 25 feet. If the train is 60 feet long, what is the length in inches that lindy should Build The Model Of the train? Answered by Stephen La Rocque. 





Reducing the over all size of a irregular pentagon 
20070411 

From Gilbert: I'm having trouble figuring out how to reduce the over all size of a irregular pentagon.
The pentagon I'm trying to reduce has 2 right angles adjacent to each other.
Basically the shape of a house. I have width, length of the legs and the height of the peak.
But cannot figure out how to get the size of a reduced version that keeps the same proportion
and angles.
Thanks
Gilbert Answered by Penny Nom. 





The height of a pole 
20070322 

From clyde: I am trying to determine the height of a pole by using 3 angles top 30.8 deg, center 17.3 deg, and bottom 5.8 deg. Can you point me in the right direction ? Answered by Stephen La Rocque. 





A circle is stretched horizontally by a factor of 2 
20070307 

From bob: I was wondering if you could double check my work?
the question is as follows: The circle X^2+y^22x3= 0 is stretched horizontally by a factor of 2 to obtain an ellipse what is the equation of this ellipse in general form? Answered by Penny Nom. 





The scale on a drawing 
20070124 

From Sandra: If I have a 1cm x 1cm square and enlarge it to a 2cm x 2 cm square, does that show a 1:2 scale or 1:4 scale? Do you use the length only or is area involved? Answered by Penny Nom. 





The area of a scalene triangle 
20070120 

From Kalsi: I have a scalene triangle in which i have to find the area. Answered by Penny Nom. 





A scale model 
20061130 

From Adrianna: 1) A model of a storage compartment is to a scale of 1:40. If the surface area of the model is 25 square centimeters, what is the surface area of the actual storage compartment?
a) The storage compartment in the last question has an actual volume of 8 cubic metres. What is the volume of the model? Answered by Penny Nom. 





I have to design a lettering on corrugated plate 
20061129 

From Tim: For a client of mine I have to design a lettering on corrugated plate. The lettering has to appear "normal" when viewed from the front (100%) I am so far now to consider the shape of the plate to be two halves of an oval/ellipse. What I would like to know is a way to calculate the percentage in which I have to "stretch" my design in order to let it appear "normal". Answered by Stephen La Rocque and Penny Nom. 





Scale factors and ratios 
20061119 

From Maggie: I have a BIG math test coming up, and it's about scale factors and ratios, but i don't understand them at all. How can you tell the difference between scale factors and ratios? and How are they used in the everyday world? Answered by Penny Nom. 





A scale factor 
20060325 

From Jackie: I need a formula or step by step help to show my child how to find missing dimensions for example: The scale factor for a model is 10 inches = ________ feet
Model 39.7 in
Actual 11.9 ft Answered by Penny. 





On the blueprint, the scale indicates that 2 cm represents 5 ft. 
20060311 

From Teresa: On the blueprint, the scale indicates that 2 cm represents 5 ft. What are the actual dimensions of a room that is 4.8 cm by 6 cm on the blueprint? Answered by Penny Nom. 





The dimensions of a poster 
20060308 

From Sonu: poster measures 150cm by 180cm is enlarged in the ratio 8:5 find the length and breath of the enlarged poster. Answered by Stephen La Rocque. 





A train model is created using a scale of 1:60 
20060101 

From Jennifer: An "n gauge " train model is created using a scale of 1:60. If an actual train engine, the "K4" an early twentiethcentury engine,is 45 feet long, what is the length of an "N gauge" model of the engine in inches? Answered by Penny Nom. 





Twelve golf balls 
20051228 

From Todd: You have 12 golf balls and 11 of them are the exact same weight, but one of them is either a little heavier or a little lighter. You only have three attempts to weigh the balls. How can you determine which ball weighs more/less than the rest? Answered by Penny Nom. 





Resizing a polygon 
20051126 

From Anthony: I am currently working on a mapping program in which polygons, rectangles, circles, etc... are rotated, moved, and resized. Recently, I used the rotation conversion formula to rotate the items n degrees/radians by using the point and the center point of the shape.
Currently, I am working on resizing the shape (length and/or width) while still trying to maintain the integrity of the shape. I basically want to decrease or increase the y value by 1 in order to resize the length and I want to decrease or increase the x value by 1 in order to resize the width.
The corresponding x and y values either increase by 1, stay the same, or decrease by 1.
Is it possible to use just the point and center of the shape in order to calculate this resizing?
What can I use to accomplish this task? Answered by Chris Fisher. 





A counterfeit coin 
20040123 

From Kim: You are considering buying 45 silver coins that look alike, but you have been told that one of the coins is a lightweight counterfeit. Find the least number of weighings on a balance scale that you can use to be certain you have found the counterfeit coin? Answered by Penny Nom. 





Doubling the size of an object 
20030401 

From Dave: If I have a known surface area and volume of an unknown object and I want to double the size of the object, how do I find the new area and volume? Answered by Walter Whiteley. 





Musical Scales 
20020724 

From Terence: Given that there are 12 notes in a musical octave, what is the maximum number of musical scales possible within that octave, if each scale has a minimum of 5 notes and a maximum of 9 and we start all the scales from the same note? In case you don't know anything about music, a scale is a progression of notes where you start on a specific note and end on that same note an octave higher. There are twelve different notes between these two similar notes. Which notes you choose to play determine the sound of the scale. Anything less than five notes would not make for a very interesting scale. Anything more than nine and you would be playing almost 'every' note in the scale, not leaving much room for distinction in how you organize these notes. I assume you first have to figure out the maximum number of variations possible in a 5note scale (with 12 notes at your disposal). Then do the same for a 6note scale, then a 7note, then an 8note, and so on. Then add up the results. How to find this maximum number of variations for each scale size though is what I don't know. Answered by Leeanne Boehm. 





An acute scalene triangle 
20010924 

From Kim: Hi I'm on a missionI'm suppose to have a group of children write up a hypotheses about the altitudes and angle biscetors of the follwing 3 types of triangleequilateral, isosceles and acute scalene triangle. Is there such a thing as a acute scalene triangle and why or why not. Answered by Chris Fisher. 





Toy bricks 
20010513 

From Sarah: A regularsized brick weighs 4 kilograms. How much will a similar toy brick, made of the same material, but all of the same dimensions of which are four times smaller, weigh? The 300metre tall Eiffel tower is made of steel and weighs 8 000 000 kg. An exact replica, made of the same material, weighs 1 kg. How high is the replica Answered by Penny Nom. 





Isoscles and scalene 
20010417 

From Autumn: explain where the term isoscles and scalene came from? Answered by Chris Fisher. 





The scale on a map 
20001021 

From Caroline: On a map scale of 1:15000 the distance between two buildings is 31.4cm what is the actual distance in km. Answered by Penny Nom. 





A balance problem 
19961118 

From Jack N. Bussell: There are 12 coins which look exactly the same, however one of them is heavier or lighter than the rest. Using a pointer balance scale, can you identify the odd coin and whether it is heavy or light in 3 weighings? Answered by Harley Weston. 





A coin problem 
19960416 

From Julie Hebert and Simon Hamel: How many weighings would you need to find out which pile is fraudulent? Answered by Penny Nom. 

