jmc

Question

Each edge length of a rectangular solid is a prime number. If the volume of the rectangular solid is 385 cubic units, what is the total surface area, in square units, of the rectangular solid?

Accepted Answer

Prime factorize 385 as 57 11. The surface area of a rectangular solid having side lengths of 5, 7, and 11 units is 2(57+711+115)=334 square units.