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6cm 9cm 10cm 8cm
What is the surface area of the triangular prism?
To find the surface area of a triangular prism, we need to find the areas of each of the five faces and then add them up.
1. The two triangular faces:
The area of a triangle can be calculated using the formula A = 0.5 * base * height.
For the first triangle: A = 0.5 * 6cm * 9cm = 27 cm^2
For the second triangle: A = 0.5 * 8cm * 10cm = 40 cm^2
2. The three rectangular faces:
The area of a rectangle can be calculated using the formula A = length * width.
For the first rectangle: A = 8cm * 10cm = 80 cm^2
For the second rectangle: A = 6cm * 10cm = 60 cm^2
For the third rectangle: A = 6cm * 8cm = 48 cm^2
Add up all the areas:
27 cm^2 + 40 cm^2 + 80 cm^2 + 60 cm^2 + 48 cm^2 = 255 cm^2
Therefore, the surface area of the triangular prism is 255 cm^2.