Surface Area of Triangular Prisms Practice Complete this assessment to review what you've learned. It will not count toward your grade. 5 of 55 of 5 Items Question Use the image to answer the question. What is the surface area of the net of the triangular prism? (1 point)
To find the surface area of the net of the triangular prism, first calculate the area of each individual shape and then add them together.
The net of the triangular prism consists of 2 triangles and 3 rectangles.
1. Find the area of the two triangles:
Area = 1/2 * base * height
Area = 1/2 * 6 * 4
Area = 12 square units (for each triangle)
2. Find the area of the three rectangles:
Rectangle 1:
Area = length * width
Area = 4 * 6
Area = 24 square units
Rectangle 2:
Area = 6 * 4
Area = 24 square units
Rectangle 3:
Area = 6 * 4
Area = 24 square units
3. Add all the areas together to find the total surface area:
Total surface area = 2(12) + 24 + 24 + 24
Total surface area = 24 + 24 + 24 + 24 = 96 square units
Therefore, the surface area of the net of the triangular prism is 96 square units.