Math CentralQuandaries & Queries


Question from milo, a student:

A rectangular flush tank 22" by 71/4 contains water to depth of 17" how many gallons of water will be saved if a conservation device reduces the capacity to 3/5 of this amount? And reduced to the nearest tenth

Hi Milo,

The shape of the water in the the tank is a rectangular prism and the volume of a rectangular prism is the length times the width times the height. Since your dimensions are in inches this will give the volume in cubic inches. You can convert the volume to gallons using the fact that there are 231 cubic inches in a US gallon. By using the conservation device you will save tw0 thirds of this amount.


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