Asap The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input whole number only.) A triangular prism is shown with 2 right …

Question

asked Sep 28, 2021 37.1k views

1 Answer

Chindraba · Answer 1 · 2021-10-04T14:59:29+0000

Answer:

The surface area of the prism is 252 square units

Explanation:

we know that

The surface area of the prism is equal to

SA=2B+PL

where

B is the area of the base of the prism

P is the perimeter of the base

L is the length or the height of the prism

step 1

Find the area of the triangular base B

The area of triangular base B is

$B=(1)/(2)(8)(6)=24\ units^2$

The perimeter of the triangular base P is

$P=8+6+10=24\ units$

we have

$L=8.5\ units$

substitute the values in the formula

$SA=2(24)+24(8.5)=252\ units^2$