To calculate the surface area of the shown net for a triangular prism, we need to find the areas of each of the triangular faces and the rectangular faces.
1. Triangular faces:
We have two triangular faces with dimensions 4 cm, 5 cm, and 3 cm for each.
Using the formula for the area of a triangle (A = 1/2 * base * height), we can calculate the areas of each triangular face:
Area = 1/2 * 4 cm * 5 cm = 10 cm^2
Area = 1/2 * 3 cm * 5 cm = 7.5 cm^2
2. Rectangular faces:
We have three rectangular faces with dimensions 4 cm x 5 cm, 3 cm x 5 cm, and 4 cm x 3 cm.
To find the area of a rectangle, we use the formula A = length x width. Let's calculate the areas of each rectangular face:
Area = 4 cm x 5 cm = 20 cm^2
Area = 3 cm x 5 cm = 15 cm^2
Area = 4 cm x 3 cm = 12 cm^2
Now, add up all the areas:
Total surface area = 10 cm^2 + 7.5 cm^2 + 20 cm^2 + 15 cm^2 + 12 cm^2 = 64.5 cm^2
Therefore, the surface area of the shown net for a triangular prism is 64.5 cm^2.
4 cm
5 cm
3 cm
5 cm
4 cm
3 cm
4 cm
What is the surface area of the shown net for a triangular prism?
(1 point)
1 answer