Question

If the volume of a cube is 27 what is the shortest distance from the center of the cube to the base of the cube

1
2
1.5
3

Answer 1

C)1.5

Explanation:

Since a cube is a three dimensional solid with square faces, the distance from center of the cube to the base of the cube is the same as half any one of its sides (all sides in a cube having the same length).

If we consider the length of the side to be a, then formula for volume of a cube is:

V=a³

27=a³

Find the cube root on both sides.

3×3×3=a×a×a

3=a

Since the length of the side is 4, the distance from the center of the cube to the base of the cube is

3/2=1.5