How to find the volume of a polyhedron - PSAT Math
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Question
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?
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?
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.
The cross-section of the pool is the area of its surface, which is the product of its length and its width:
Since 80% of the pool is six feet deep, this portion of the pool holds
Since the remainder of the pool - 20% - is four feet deep, this portion of the pool holds
Add them together: the pool holds
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