The dimensions of a rectangular solid are inches by inches by inches. The length of each edge of the solid is to be increased by . What is the surface area, in square inches, of the new solid?
Select an Answer
If the length of each edge is increased by , then the area of each face of the new solid is increased by (, where and represent the dimensions of a face). The surface area of the original solid is equal to square inches. Thus, the surface area of the new solid is equal to square inches, which rounds to . The correct answer is D.
Another way to solve the problem is to find the lengths of each edge of the new solid by multiplying the length of each edge by and then compute the surface area. The dimensions of the new solid are inches by inches by inches, so the surface area is equal to square inches.