Answer:
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.