To find the surface area of a triangular prism, we need to find the areas of each of its faces and add them up.
The net of a triangular prism consists of three rectangles and two triangles.
The formula to calculate the surface area of a triangular prism is:
Surface area = 2(base area) + (side perimeter)(height)
For the rectangular faces:
- The base of the prism is a triangle with a base of 4 units and a height of 3 units, so the area is 1/2 * 4 * 3 = 6 square units.
- The rectangles on the sides of the prism are 4 units by 3 units, so their combined area is 2 * 4 * 3 = 24 square units.
For the triangular faces:
- The two triangular faces have a base of 4 units and a height of 3 units, so each has an area of 1/2 * 4 * 3 = 6 square units.
Adding up the areas of all the faces:
6 + 24 + 6 + 6 = 42 square units
Therefore, the surface area of the triangular prism is 42 square units.
Using the net of the triangular prism, what is its surface area?
1 answer
1 answer