13 in 14 inches 12 inches 5 in 14 inches

Find the lateral serves in the area of the triangular prism solve this problem but turning the area of the shapes net.
564 in
480 in
504 in
420 in

To find the lateral surface area of a triangular prism, we need to find the area of each of the three rectangles that make up the lateral surface.

Given the dimensions:
13 in, 14 inches, 12 inches, 5 in, and 14 inches.

The first rectangle has dimensions 13in x 14in = 182 in^2
The second rectangle has dimensions 12in x 14in = 168 in^2
The third rectangle has dimensions 5in x 14in = 70 in^2

Adding all three together:
182 + 168 + 70 = 420 in^2

Therefore, the lateral surface area of the triangular prism is 420 in^2.

Therefore, the correct answer is 420 in.