To find the surface area of the triangular prism, we need to find the area of each face and then add them all together.
1. Area of the triangular base:
The base of the prism is a triangle with a base of 6 cm and a height of 4 cm.
Area = (1/2) * base * height
Area = (1/2) * 6 cm * 4 cm
Area = 12 square cm
2. Area of the rectangular sides (2 of them):
Each rectangular side has a base of 6 cm and a height of 7 cm.
Area = base * height
Area = 6 cm * 7 cm
Area = 42 square cm
3. Total surface area:
Now we add all the areas together.
Total surface area = 2 * Area of triangular base + 2 * Area of rectangular side
Total surface area = 2 * 12 + 2 * 42
Total surface area = 24 + 84
Total surface area = 108 square cm
Therefore, the surface area of the triangular prism is 108 square cm.
Use the image to answer the question.
Find the surface area of this triangular prism. Your answer should have two decimal places.
(1 point)
cms
1 answer