Question

A company rents two storage units. Both units are cube- shaped. What is the difference in volume of the two storage units? Note that the volume of a cube a square is s(2) , where is the side length. Explain.

Answer 1

The difference between their volumes is
`237.375ft^3`

Explanation:

The attachment completes the question.

For cube 1:

`s_1 = 8ft`

For cube 2:

`s_2 = 6.5ft`

Required

The difference in their volumes

First, we calculate the volume of box 1

`V_1 = s_1^3`

Substitute 8 for s1

`V_1 = 8^3`

`V_1 = 512ft^3`

Next, we calculate the volume of box 2

`V_2 = s_2^3`

Substitute 6.5 for s2

`V_2 = 6.5^3`

`V_2 = 274.625ft^3`

The difference is then calculated as:

`Difference = |V_1- V_2|`

`Difference = |274.625- 512|`

`Difference = |-237.375|`

`Difference = 237.375`

Hence, the difference between their volumes is
`237.375ft^3`