Victor needs to find the volume of 6 cubeshaped boxes with sides lengths of between 2 feet and 7 feet. the side lengths of the boxes can only be whole numbers. the volume of a cube-shaped box with a side length of s is given by the function v(s) = s 3 .

The volume of 6 cube shaped boxes with length {2, 3, 4, 5, 6, 7} is {8, 27, 64, 125,21 6, 343} feet respectively.

Step-by-step explanation:

Consider the provided information.

Victor needs to find the volume of 6 cube shaped boxes with sides lengths of between 2 feet and 7 feet.

The side lengths of the boxes can only be whole numbers.

As the side lengths can be whole numbers, so the whole number between 2 and 7 is: 2, 3, 4, 5, 6 and 7.

The least length for side is 2 feet and the greatest length for side is 7 feet.

The volume of the cube shaped is: , where s is the side.

For side = 2 feet

Substitute s=2 in above formula.

For side = 3 feet

Substitute s=2 in above formula.

For side = 4 feet

Substitute s=2 in above formula.

For side = 5 feet

Substitute s=5 in above formula.

For side = 6 feet

Substitute s=6 in above formula.

For side = 7 feet

Substitute s=7 in above formula.

Hence, the volume of 6 cube shaped boxes with length {2, 3, 4, 5, 6, 7} is {8, 27, 64, 125,21 6, 343} feet respectively.