Question

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?

Answer 1

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

Explanation:

Was right on edge

Answer 2

The surface area of the larger triangular prism is 4 times the surface area of the smaller triangular prism

Explanation:

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor and the ratio of its surface areas is equal to the scale factor squared

Let

z ----> the scale factor

In this problem

z=2

therefore

z²=2²=4

The surface area of the larger triangular prism is 4 times the surface area of the smaller triangular prism