Answer:
The difference between their volumes is [tex]237.375ft^3[/tex]
Step-by-step explanation:
The attachment completes the question.
For cube 1:
[tex]s_1 = 8ft[/tex]
For cube 2:
[tex]s_2 = 6.5ft[/tex]
Required
The difference in their volumes
First, we calculate the volume of box 1
[tex]V_1 = s_1^3[/tex]
Substitute 8 for s1
[tex]V_1 = 8^3[/tex]
[tex]V_1 = 512ft^3[/tex]
Next, we calculate the volume of box 2
[tex]V_2 = s_2^3[/tex]
Substitute 6.5 for s2
[tex]V_2 = 6.5^3[/tex]
[tex]V_2 = 274.625ft^3[/tex]
The difference is then calculated as:
[tex]Difference = |V_1- V_2|[/tex]
[tex]Difference = |274.625- 512|[/tex]
[tex]Difference = |-237.375|[/tex]
[tex]Difference = 237.375[/tex]
Hence, the difference between their volumes is [tex]237.375ft^3[/tex]
