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?

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

Step-by-step 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

its 4 because 2 times 2 is 4, if you double the number two you get four

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2