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 the pools are each a whole number from 2 to 5 feet. If the pools are filled all the way to the top, what is the volume?

Answer 1

The widths and depths are the same. Since volume is length x width x height, you get 2x2x4=16, 3x3x6=54, 4x4x8=128, 5x5x10=250

Answer 2

Answer:

Given is :

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

The depth of the pools are each a whole number from 2 to 5 feet. This means 2,3,4 and 5.

Now, the length of each pool is twice the width and twice the depth .

The equation to find out the volume in this case is :

V=$x \times x\times 2x =2x^{3}$

So, when x = 2 feet, the length is 4 feet.

Volume is $2\times2\times4=16$ cubic feet

When x = 3 , the length is 6

Volume is $3\times3\times6=54$ cubic feet

When x = 4 , the length is 8

Volume is $4\times4\times8=128$ cubic feet

When x = 5 , the length is 10

Volume is $5\times5\times10=250$ cubic feet