Question

8m

7m
7m
12 m
1. A triangular prism is
shown below. What is the
lateral surface area of this
prism? (TEK 8.78)
A. 252m2
B. 264 m2
C. 294 m2
D. 336 m2

Answer 1

Its 264.

This is because its looking for the lateral surface area. And the formula for that is S=Ph.

So that means you add up the perimeter and multiply the height.

Answer 2

Based on the triangular prism shown below, the lateral surface area of the prism is: B. 264
`m^2`.

In Mathematics, the lateral surface area (LSA) of a triangular prism can be calculated by using this mathematical equation:

Lateral surface area of triangular prism = Perimeter of the base × height of the prism

Lateral surface area of triangular prism = (a + b + c)h

where:

• h is the height of the triangular prism.
• a, b, and c represent the three base sides (edges) of the base triangle.

By substituting the given parameters into the lateral surface area of triangular prism formula, we have:

Lateral surface area of triangular prism = (7 + 8 + 7) × 12

Lateral surface area of triangular prism = 22 × 12

Lateral surface area of triangular prism = 264
`m^2`.

Missing information:

The question is incomplete and the missing diagram is shown in the attached picture.