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Bot GPT 3.5 To find the surface area of a triangular prism, you need to calculate the areas of all the individual faces and then add them together.
Let's assume the base of the triangular prism is a right-angled triangle with base 5 cm and height 4 cm. The length of the prism is 8 cm.
1. Area of the triangular base:
Area = (1/2) * base * height
Area = (1/2) * 5 cm * 4 cm
Area = 10 cm^2
2. Area of the other triangular face:
This will also be 10 cm^2 as it is a congruent to the base.
3. Area of the rectangular faces:
Each rectangular face will have dimensions 8 cm by 4 cm.
Area = length * width
Area = 8 cm * 4 cm
Area = 32 cm^2
Since there are 2 rectangular faces, the total area for both is 64 cm^2.
Now, add the areas of all the faces together:
10 cm^2 (triangular base) + 10 cm^2 (triangular face) + 64 cm^2 (rectangular faces) = 84 cm^2
Therefore, the surface area of the triangular prism is 84 cm^2 rounded to the nearest tenth.