Question

A larger cube with side length of 60 cm was cut into 1000 small cubes of the same size.Find the surface area,in cm2 , of the base of the small cube.

A.6
B.12
C.36
D.216

Answer 1

D. 216

Explanation:

Volume is equal to the side length cubed, and surface area is equal to six times the side length squared.

V = s³

A = 6s²

The larger cube has a side length of 60 cm, and a volume of:

V = (60 cm)³

V = 216,000 cm³

The small cubes have a volume that is 1/1000th of this.

V = 216 cm³

That means they have a side length of:

216 cm³ = s³

s = 6 cm

And an area of:

A = 6 (6 cm)²

A = 216 cm²