Question

The dimensions of a rectangular prism are shown. A new prism is created by changing only the height of the prism by a scale factor of two. Select the statement that is true. Responses The surface area of the new prism is twice the surface area of the original prism. The surface area of the new prism is twice the surface area of the original prism. The surface area of the new prism increased by more than a scale factor of two. The surface area of the new prism increased by more than a scale factor of two. The surface area of the new prism increased by less than a scale factor of two. The surface area of the new prism increased by less than a scale factor of two. The surface area of the new prism decreases.

Answer 1

The surface area of the new prism increased by less than a scale factor of two.

Explanation:

original prism: S.A. = SA of 4 sides + Top + Bottom = 4(9x6) + 2 (3x6) = 252

scaled up prism: SA = 4(18x6) + 2(3x6) = 468

height = 2(9) = 18

468/252 = 1.857 < 2