Question

Compare the dimensions of the prisms. How many times greater is the surface area of the green prism than the surface area of the blue prism?

Answer 1

Answer:

The surface area of the green prism is 2.5 times greater than the surface area of the blue prism

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The surface area of a prism is equal to

$SA=2B+Ph$

where

B is the area of the base

P is the perimeter of the base

h is the height or length of the prism

step 1

Find the surface area of the green prism

we have that

$B=\frac{1}{2}(5)(12)=30\ m^2$

$P=(5+12+13)=30\ m$

$h=3\ m$

substitute

$SA=2(30)+30(3)=150\ m^2$

step 2

Find the surface area of the blue prism

we have that

$B=\frac{1}{2}(3)(4)=6\ m^2$

$P=(5+3+4)=12\ m$

$h=4\ m$

substitute

$SA=2(6)+12(4)=60\ m^2$

step 3

Divide the surface area of the green prism by the surface area of the blue prism

150/60=2.5

therefore

The surface area of the green prism is 2.5 times greater than the surface area of the blue prism