Question

A dodecagonal pyramid has a surface area of 130 square inches. A similar dodecagonal pyramid has a surface area of 2080 square inches. If the larger pyramid has a height of 32, what is the height of the smaller dodecagonal pyramid?

Answer 1

8 in.

Explanation:

The ratio of the surface areas is equal to the square of the ratio of the heights

Let h = the height of the smaller dodecagonal pyramid

So,
`(2080)/(130) = (32^(2))/(h^(2) )`

`h^(2) = (32^(2) * 130 )/(2080)`

`h^(2) = 64`

h = 8 in.