How much greater is thr combined surface area of the 2 cubes than the original?

Question

A rectangular block with a volume of 250 cubic inches is sliced onto 2 cubes of equal value. How much greater, in square inches, is the combined surface area of the 2 cubes than the surface area if the original rectangular block?

Answer 1

The dimensions of the rectangle are: 2x, x, and x.

The volume is 2x³

250 = 2x³

125 = x³

5 = x

By cutting the rectangle two more faces, 5 x 5, are exposed.

The surface area is increased by 50 in²