To compute the surface area of a triangular prism, you need to find the area of each individual face and add them up.
The formula for the surface area of a triangular prism is:
Surface area = 2*(base area of triangle) + (perimeter of triangle)*(height of prism)
You can use the net of the triangular prism to find the base area of the triangle and the perimeter of the triangle. Then plug the values into the formula to calculate the surface area.
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Question
Use the net as an aid to compute the surface area of the triangular prism.
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3 answers
4 6 12 5
To calculate the surface area of the triangular prism using the given numbers:
Base area of the triangle:
(1/2) * base * height
= (1/2) * 4 * 6
= 12 square units
Perimeter of the triangle:
Perimeter = 4 + 6 + 5
= 15
Height of the prism:
12 units
Now, plug the values into the formula for surface area:
Surface area = 2*(12) + (15)*(12)
Surface area = 24 + 180
Surface area = 204 square units
Therefore, the surface area of the triangular prism is 204 square units.
Base area of the triangle:
(1/2) * base * height
= (1/2) * 4 * 6
= 12 square units
Perimeter of the triangle:
Perimeter = 4 + 6 + 5
= 15
Height of the prism:
12 units
Now, plug the values into the formula for surface area:
Surface area = 2*(12) + (15)*(12)
Surface area = 24 + 180
Surface area = 204 square units
Therefore, the surface area of the triangular prism is 204 square units.