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.

Question

Mathematics

Yoselin Mcguire

13 June, 16:30

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.

+2

Answers (1)

Know the Answer?

Lainey · Answer 1

V (s) = (S) ^3

6 cube shapes with sides ranging in whole numbers from 2 feet to 7 feet:

S1 = 2 feet, S2 = 3 feet, S3 = 4 feet, S4 = 5 feet, S5 = 6 feet, S6 = 7 feet

V (s) 1 = (S1) ^3 = (2) ^3 = 8 cubic feet

V (s) 2 = (S2) ^3 = (3) ^3 = 27 cubic feet

V (s) 3 = (S3) ^3 = (4) ^3 = 64 cubic feet

V (s) 4 = (S4) ^3 = (5) ^3 = 125 cubic feet

V (s) 5 = (S5) ^3 = (6) ^3 = 216 cubic feet

V (s) 6 = (S6) ^3 = (7) ^3 = 343 cubic feet