How to find the volume of a polyhedron - PSAT Math

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Question

Swimming_pool

The above depicts a rectangular swimming pool for an apartment. 80% of the pool is six feet deep, and the remaining part of the pool is four feet deep. How many cubic feet of water does the pool hold?

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Answer

The cross-section of the pool is the area of its surface, which is the product of its length and its width:

square feet.

Since 80% of the pool is six feet deep, this portion of the pool holds

cubic feet of water.

Since the remainder of the pool - 20% - is four feet deep, this portion of the pool holds

cubic feet of water.

Add them together: the pool holds

cubic feet of water.

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