Math CentralQuandaries & Queries


Question from Tori, a student:

How do you find the base height if the base width is 10ft. The height is 7ft. And the volume is105ft.

HI Tori,

You didn't tell us the shape of the base but I am going to assume it is a rectangle and that you are working with a rectangular prism. The volume of a prism is the area of the base times the height and since the area of a rectangle is the length times the width, the volume of your rectangular prism is

\[\mbox{length } \times \mbox{ width } \times \mbox{ height} = 105 \mbox{ cubic feet.}\]


\[10 \times \mbox{ width } \times 7 = 105 \mbox{ cubic feet.}\]

What is the width?


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