Question

What is the surface area of the triangular prism whose net is shown below? Round the answer to the nearest hundredth

Answer 1

To find the surface area of a triangular prism, we need to find the area of each face and then add them together.

The net of the triangular prism shows:
- A triangle with a base of 6 cm and a height of 4 cm
- Two rectangles with lengths of 6 cm and widths of 4 cm
- Two rectangles with lengths of 4 cm and widths of 3 cm

First, find the area of the triangular base:
Area = (1/2) * base * height
Area = (1/2) * 6 cm * 4 cm
Area = 12 cm^2

Next, find the area of the rectangles:
Area = length * width
Area = 6 cm * 4 cm = 24 cm^2
Area = 4 cm * 3 cm = 12 cm^2

Now, add the areas of all the faces together:
Surface Area = 2(24 cm^2) + 2(12 cm^2) + 12 cm^2
Surface Area = 48 cm^2 + 24 cm^2 + 12 cm^2
Surface Area = 84 cm^2

Therefore, the surface area of the triangular prism is 84 square cm.