Question

What is the surface area of the triangular prism?
5 ft
3 ft
5 ft
4 ft
[Not drawn to scale]

60square feet
72square feet
82square feet
84square feet

Answer 1

The surface area of the triangular prism is: B. 72 sq. ft

Surface Area of a Triangular Prism

• The surface area of a triangular prism is given by the formula: SA = bh + (s1+s2+s3)H

• Where, b is the base, h is the height, and s1+s2+s3 is the perimeter of the triangular base, H is the length of the prism.

Thus, given the triangular prism as shown in the diagram attached below, we have the following:

b = 4 ft

h = 3 ft

H = 5 ft

s1 + s2 + s3 = 3 + 4 + 5 = 12 ft

• Plug in the values

Surface area = 4×3 + (12)5 = 12 + 60 = 72

Therefore, the surface area of the triangular prism is: B. 72 sq. ft

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