Question

a triangular prism is 20 yards long and has a triangular face with a base of 24 yards and a height of 16 yards . the other two sides of the triangle are each 20 yards.what is the surface area of the triangular prism?

Answer 1

The surface area of the triangular prism is 1664 square yards.

Explanation:

Given that a triangular prism is 20 yards long and has a triangular face with a base of 24 yards and a height of 16 yards . the other two sides of the triangle are each 20 yards.

Surface area of the triangular prism:

The formula to determine the surface area of the triangular prism is

$SA=bh+Pl$

where base $b=24$ ,

height $h=16$,

length $l=20$ and

Perimeter $P=20+20+24=64$

Substituting these values in the above formula, we get,

$SA=(24\times 16)+(64\times 20)$

     $=384+1280$

$SA=1664$

Thus, the surface area of the triangular prism is 1664 square yards.