Math CentralQuandaries & Queries


Question from Andy:

What size room would I need for 220 cubic feet? What is the calculation I would use to find the answer to this problem?


If this is a rectangular room then the volume is the length times the width times the height so the dimensions can be any three positive numbers that have a product of 220. For example 11 feet long by 10 feet wide by 2 feet high. Not a very practical room unless maybe you are raising rabbits.

If the room has an 8 foot ceiling so the height is 8 feet then 220/8 = 27.5 so the floor would need to have an area of 27.5 square feet. Dimensions of 5.5 feet by 5 feet gives 5 × 5.5 = 27.5 so a room 5.5 feet in length, 5 feet long and 8 feet high would have a volume of 220 cubic feet.

There are many possibilities and the choice is yours.


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