Quandaries
and Queries
Name: Kayla
Level: 10-12 grade
I am a student.
1st question- If a+b divided by a equals 6 and b+c divided by c equals 9, compute the numerical value of a divided by c. ( Your answer will be mumbers only, no variables.)
2nd question- Three adjacent faces of a box (a rectangular prism) have areas of 7, 14, and 18 square inches. Find the volume of the box. (Hint: Choose variables to represent the three sides of the box and then figure out the problem.)
Hi Kayla,
If a+b/a = 6 then a+b = 6a and thus b = 5a. Hence a = b/5. Also, b+c divided by c equals 9, so use similar rreasoning to find c and then divide a by c.
For problem 2, draw a diagram and label it.
The three faces you can see have areas
a
b,
ac, and bc.
One of these is 7, one is 14 and the third is 18. Write this as three
equations and solve for a, b and c.
Cheers,
Penny