PSAT Math : How to find the volume of a polyhedron

Study concepts, example questions & explanations for PSAT Math

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Example Questions

Example Question #1 : How To Find The Volume Of A Polyhedron

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?

Possible Answers:

None of the other choices gives the correct answer.

Correct answer:

Explanation:

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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