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

Answer:

Option C. $543\ in^{2}$

Step-by-step 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

$B=\frac{1}{2}bh$

substitute values

$B=\frac{1}{2}(12)(6)=36\ in^{2}$

Find the perimeter of the base

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

Find the surface area

$SA=2B+PH$

$SA=2(36)+(31.4)(15)=543\ in^{2}$