Find the surface area of this triangular prism 24in. 25in. 25in. 32in. 14in.
To find the surface area of a triangular prism, we need to add up the areas of each face.
The triangular faces have base 24in and height 32in. So the area of each of these faces is:
(1/2) x base x height = (1/2) x 24in x 32in = 384in²
There are two triangular faces, so their total area is:
2 x 384in² = 768in²
The rectangular faces have lengths of 25in and 14in. The height (or width, depending on how you orient the prism) is 32in. So the area of each of these faces is:
length x height = 25in x 32in = 800in²
width x height = 14in x 32in = 448in²
There are two rectangular faces, so their total area is:
2 x (800in² + 448in²) = 2496in²
Finally, we add up the areas of all the faces:
768in² + 2496in² = 3264in²
So the surface area of the triangular prism is 3264in².