Answer to Question #187767 in Algebra for Jose Perez

Question

A pool party is occurring at the Robertson's house this next holiday. They want to invite 64

 friends and family. Only 26

 friends and 9

 family members reply to the invite. The Robertson's are a family of 5

. Their pool is 35

 feet long and is 10

 feet deep when filled to capacity. They are worried children under 5

 will struggle in the pool, so they only fill the pool to 5

 feet. The day of the party, 53

 people show up. The son, Billy, is 4.5

 feet tall. If Billy's height is half the width of the pool, what is the volume of water (in cubic feet) the Robertson's filled the pool with?

Answer 1

The length of the pool is =35 feet.

The depth of the pool is = 10 feet.

Billy's height of the half of the width of pool

Given , $\frac{1}{2}x =4.5$ (x= width)

$x= 4.5×2$

$x= 9 feet$

so, width = $= 9 feet$

then we have,  $L= 35 feet h= 10 feet W= 9 feet$

Now volume will be = $= length× width×height$

$= 35×10×9$

$=3150 cubic feet$