# swimming pool problem

• November 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 yd³ B) 167 yd³ C) 56 yd³ D) 500 yd³ E) 164 yd³
• November 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 yd³ B) 167 yd³ C) 56 yd³ D) 500 yd³ E) 164 yd³

Convert the dimensions of the pool from feet to yards and then use the usual formula for calculating the volume of a box.
• November 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 yd³ B) 167 yd³ C) 56 yd³ D) 500 yd³ E) 164 yd³

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

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