What is the lateral surface area of the triangular prism?
13 in
5 in
14 in
12 in
The lateral surface area of a triangular prism can be calculated by finding the sum of the areas of the three rectangles that make up the sides of the prism.
Given the dimensions:
Base of the triangle = 13 in
Height of the triangle (distance from the base to the top vertex of the triangle) = 5 in
Length or depth of the prism = 14 in
The lateral surface area is calculated as follows:
Lateral Surface Area = Perimeter of the base x Height of the prism
Lateral Surface Area = (3 x base length) x height of prism
Lateral Surface Area = (3 x 13 in) x 14 in
Lateral Surface Area = 39 in x 14 in
Lateral Surface Area = 546 in^2
Therefore, the lateral surface area of the triangular prism is 546 in^2.