# swimming pool problem

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• Nov 22nd 2009, 02:27 AM
sri340
swimming pool problem
Denise plans to build a swimming pool in her backyard. The pool will be 25 ft long, 10 ft wide, and 6 ft deep. About how many cubic yards of dirt must be removed by an excavator before swimming pool construction can begin?

A) 1500 ydł B) 167 ydł C) 56 ydł D) 500 ydł E) 164 ydł
• Nov 22nd 2009, 02:31 AM
mr fantastic
Quote:

Originally Posted by sri340
Denise plans to build a swimming pool in her backyard. The pool will be 25 ft long, 10 ft wide, and 6 ft deep. About how many cubic yards of dirt must be removed by an excavator before swimming pool construction can begin?

A) 1500 ydł B) 167 ydł C) 56 ydł D) 500 ydł E) 164 ydł

Convert the dimensions of the pool from feet to yards and then use the usual formula for calculating the volume of a box.
• Nov 22nd 2009, 03:29 AM
e^(i*pi)
Quote:

Originally Posted by sri340
Denise plans to build a swimming pool in her backyard. The pool will be 25 ft long, 10 ft wide, and 6 ft deep. About how many cubic yards of dirt must be removed by an excavator before swimming pool construction can begin?

A) 1500 ydł B) 167 ydł C) 56 ydł D) 500 ydł E) 164 ydł

First of all the shape must be known although I will assume a cuboid

Either do what Mr F said or multiply your ft measurements and divide by 27

$\displaystyle V = \frac{1}{27}(25 \cdot 10 \cdot 6) = \frac{1}{9}(25 \cdot 10 \cdot 2)$