Question

Use a net to find the surface area of the right triangular prism

35 sq. ft.
80 sq. ft.
84 sq. ft.
244 sq. ft
256 sq. ft.
258 sq. ft.
270 sq. ft.
286 sq. ft.
5,040 sq. ft.

Answer 1

244 sq. ft.

Explanation:

The net for a triangular prism consists of a central rectangle and two triangles. The length of the central rectangle is equal to the perimeter of the triangular faces.

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The area of the central rectangle of the net is ...

A = LW = (12 +7 +10 ft)(6 ft) = 174 ft²

The two triangles are right triangles, so the area of each is half the product of the leg lengths.

A = 1/2(bh) = 1/2(10 ft)(7 ft) = 35 ft²

Then the sum of the rectangle and two triangles is ...

surface area = 174 ft² +2 × 35 ft² = 244 ft²