Question

What is the surface area of the net of the triangular prism
17 m
17m
15m
16m
11m

822 sq ft
768 sq ft
779 sq ft
790 sq ft

Answer 1

To find the surface area of the net of a triangular prism, we would calculate the area of each individual face and then sum them all up.

The net of a triangular prism has 3 rectangular faces and 2 triangular faces.

The rectangular faces have dimensions:
- 17m x 17m
- 17m x 15m
- 15m x 16m

Calculating the areas of the rectangular faces:
17m x 17m = 289 sq m
17m x 15m = 255 sq m
15m x 16m = 240 sq m

Total area of rectangular faces = 289 + 255 + 240 = 784 sq m

The triangular faces have a base of 17m and a height of 11m. The area of a triangle is (1/2) x base x height, so:
(1/2) x 17m x 11m = 93.5 sq m

There are two triangular faces, so the total area for both is 2 x 93.5 = 187 sq m

Adding the areas of the rectangular faces and the triangular faces:
784 sq m + 187 sq m = 971 sq m

Therefore, the surface area of the net of the triangular prism is 971 sq m.

None of the provided options match this calculation, so it seems there may be a mistake in the dimensions or the provided answers.