Two triangular prisms are similar. The perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism.

How are the surface areas of the figures related?

A) The surface areas are the same.

B) The surface area of the larger prism is 2 times the surface area of the smaller prism.

C) The surface area of the larger prism is 4 times the surface area of the smaller prism.

D) The surface area of the larger prism is 8 times the surface area of the smaller prism.

Question

Mathematics

Antonio Fletcher

20 May, 03:20

Two triangular prisms are similar. The perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism.

How are the surface areas of the figures related?

A) The surface areas are the same.

B) The surface area of the larger prism is 2 times the surface area of the smaller prism.

C) The surface area of the larger prism is 4 times the surface area of the smaller prism.

D) The surface area of the larger prism is 8 times the surface area of the smaller prism.

+1

Answers (1)

Know the Answer?

Vaughn Cannon · Answer 1

The perimeter is one dimensional and the surface area is 2 dimensional so the ratios of the areas are the squares of the ratios of the perimeters.

Therfore the areas are in the ratio 1 to 4.

C is the correct choice