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

Answer:

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

Step-by-step 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 $237.375ft^3$