What is the ratio for the surface areas of the rectangular prisms shown below, given that they are similar and that the ratio of their edge lengths is 8: 5?

64:25

Step-by-step explanation:

It is given that the ratio of their edge lengths is 8:5.

Therefore,

where and are the length, breadth and height of the first prism and and are the length, breadth and height of the second prism.

So,

and

Now, surface area of a rectangular prism is :

A = 2(lb + bh + hl)

Therefore, ratio of the surface areas is:

Hence, the ratio of the surface areas of the rectangular prisms is 64:25.

inverse operation of addition

180°

step-by-step explanation:

sum of equilateral triangle=180°

< n=60°

< m=120°°[angle supplementary of equilateral angle]

< m+< r+< x=360°(sum of exterior angle of triangle)