Math CentralQuandaries & Queries


Question from Mable, a student:

The Shaw family wants a new swimming pool in their backyard. The pool company stated that the first job is to remove dirt from an area 30ft x 60ft. Next, a hole must be dug 25ft x 55ft x an average of 6ft deep. The finished pool would measure 20ft x 50ft x 5ft deep (average). How many square yards of dirt must be removed from the lawn?How much would it cost the Shaw family for dirt removal at $46 a cubic yard (nearest cubic yard)?

Hi Mable.

Multiply the dimensions of the removed dirt together to find the volume in cubic feet. Since there are 3 feet in a yard, there are 33 feet3 in a yard3, so that means 27 cubic feet per cubic yard. So divide by 27 to convert to cubic yards.

Finally, multiply by the cost per cubic yard.

You may find our volume calculator helpful.

Stephen La Rocque.

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