Question

Find the surface area of the triangular prism

Answer 1

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

Explanation:

Given that the triangular prism has a length of 20 inches and has a triangular face with a base of 24 inches and a height of 16 inches.

The other two sides of the triangle are 20 inches each.

We need to determine the surface area of the triangular prism.

The surface area of the triangular prism can be determined using the formula,

$SA= bh+pl$

where b is the base, h is the height, p is the perimeter and l is the length

From the given the measurements of b, h, p and l are given by

$b=24$ , $h= 16$ , $l=20$ and

$p=20+20+24=64$

Hence, substituting these values in the above formula, we get,

$SA= (24\times16)+(64\times20)$

Simplifying the terms, we get,

$SA=384+1280$

Adding the terms, we have,

$SA=1664 \ square \ inches$

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