A rectangular prism has a square base. Its height is twice the length of its width or breadth. If its volume is 250cm^3, then what is its surface area?

Question

A rectangular prism has a square base. Its height is twice the length of its width or breadth. If its volume is 250cm^3, then what is its surface area?

Answer 1

Hi Young,

The prism has dimensions of x, x, and 2x, so its volume is

2x³ = 250cm³.

x³ = 125 cm³

x = 5 cm.

The surface area is 2x²+4(x)(2x) = 2(25)+4(5)(10) = 250cm².