Math Help? Volume and Surface Area?

Question

Janet has a cube with a volume of 294 cubic inches. Pat has a cube with the surface area of 216 square inches. Which cube is bigger. 

Is this right? 

216 / 6 = 36 

36 / 4 = 9 

9 x 9 x 9 = 729 cubic inches 

This means that Pats cube is bigger.

 

 

Answer 1

The formula for the volume of the cube V = a³, where a is side of the length.

The formula for the surface area of the cube SA = 6a², where a is side of the length.

The volume of the cube of Janet is 294 cube inches.

The surface area of the cube of Pat is 216 square inches.

6a² = 216

a² = 36

a = 6 inches.

The volume of the cube of Pat V = a³ = 6³ = 216 cube inches.

Since 294 > 216, the cube of Janet is bigger than Pat's cube.