Question

The volume of a cube of ice for an ice sculpture is 64,000 cubic inches.

Answer 1

A) To find the edge length from the volume you use the formula:

e = V¹ˡ³ (to the power of 1/3) where e is the edge length.

Substitute in the volume:

e = 64000¹ˡ³

Solve:

Edge length = 40 inches



b) To find the surface area from the volume you use the formula:

s = 6V²ˡ³ (to the power of 2/3) where s is the surface area.

Substitute in the volume:

s = 6 x 64000²ˡ³

Solve:

s = 384000²ˡ³

Surface area = 9600 square inches