Question

Cube 1 has a volume of 64 cubic inches and Cube 2 has a volume of 512 cubic inches. If the ratio of the surface area of Cube 1 and 2 is 1:4 what are the side lengths of Cube 1 and Cube 2? A) 4 and 26 B) 8 and 16 C) 4 and 8 D) 8 and 64​

Answer 1

4 and 8

Explanation:

You don't need the surface area to find the edge length of a cube. Length of edge = ∛volume

Cube 1:

Length of each edge = ∛64 = 4 in.

Area of each face = 4² = 16 in².

Surface area = 6×16 = 96 in².

Cube 2:

Length of each edge = ∛512 = 8 in

Area of each face = 8² = 64 in²

Surface area = 6×64 = 384 in²

So the surface area is in the ratio 1:4