Question

One company makes inflatable swimming pools that come in four sizes of rectangular prisms.

The length of each pool is twice the width and twice the depth.

The depth of each pool is a whole number from 3 to 6 feet.

If the pools are filled all the way to the top, what is the volume of each pool?

Answer 1

Pool 1: 2(3)*3*3= 54 ft^3

pool 2: 2(4)*4*4= 128 ft^3

Pool 3: 2(5)*5*5= 250 ft^3

pool 4: 2(6)*6*6= 432 ft^3

Explanation:

length can be modeled by twice the width or twice the depth which means that deapth=width,

both the width and the depth are equal, hence

L= 2x

W=X

x=3,4,5,6 (which are values for depth as well as width)

susbtitute values:

Pool 1: 2(3)*3*3= 54 ft^3

pool 2: 2(4)*4*4= 128 ft^3

Pool 3: 2(5)*5*5= 250 ft^3

pool 4: 2(6)*6*6= 432 ft^3