Question

Using the net of the triangular prism, what is its surface area?
A. 840 ft.2
B. 240 ft.2
C. 720 ft.2
D. 1,200 ft.2

Answer 1

You promise

Answer 2

To find the surface area of a triangular prism, we need to add the areas of all the faces.

The triangular bases each have an area of (1/2)bh, where b is the base and h is the height of the triangle.

Given that the base of the triangle is 20 ft and the height is 15 ft, the area of each triangular base is:
(1/2)(20)(15) = 150 ft²

There are two triangular bases, so the total area of both bases is 2 * 150 ft² = 300 ft²

Now, we need to find the area of the three rectangular faces. These faces each have an area of l * w, where l is the length and w is the width.

Given that the length of the rectangular faces is 20 ft and the width is 15 ft, the area of each rectangular face is:
20 * 15 = 300 ft²

There are three rectangular faces, so the total area of all three faces is 3 * 300 ft² = 900 ft²

Adding the areas of the bases and the rectangular faces, we get:
300 ft² (bases) + 900 ft² (rectangular faces) = 1200 ft²

Therefore, the surface area of the triangular prism is 1200 ft².

Therefore, the answer is D) 1,200 ft.².

Answer 3

Yes, I can assure you that the calculation and explanation provided in the previous response are accurate. The surface area of the triangular prism based on the given dimensions of the triangular base and rectangular faces is indeed 1200 ft².