Question

One foam block on the playground at Teeny Tots Preschool is a triangular prism. About how much material is used to cover the block?

Answer 1

Option C.
`543\ in^(2)`

Explanation:

we know that

The surface area of the triangular prism (foam block) is equal to

`SA=2B+PH`

where

B is the area of the triangular base

P is the perimeter of the triangular base

H is the height of the triangular prism (distance between the triangular faces)

Find the area of the base B

`B=(1)/(2)bh`

substitute values

`B=(1)/(2)(12)(6)=36\ in^(2)`

Find the perimeter of the base

`P=(13.4+12+6)=31.4\ in`

Find the surface area

`SA=2B+PH`

`SA=2(36)+(31.4)(15)=543\ in^(2)`