Question

10 cm 8 cm 9 cm 6 cm

What is the surface area of the triangular prism

Answer 1

[AI-generated answer — Bot GPT 3.5]

To calculate the surface area of a triangular prism, we need to find the areas of the two triangular bases and the three rectangular faces.

First, let's find the area of the two triangular bases. The formula for the area of a triangle is 0.5 * base * height.

For the first base:
Area = 0.5 * 10 cm * 8 cm = 40 cm^2

For the second base:
Area = 0.5 * 9 cm * 6 cm = 27 cm^2

Now, let's find the area of the three rectangular faces. The formula for the area of a rectangle is length * width.

For the first face:
Area = 10 cm * 9 cm = 90 cm^2

For the second face:
Area = 8 cm * 9 cm = 72 cm^2

For the third face:
Area = 10 cm * 6 cm = 60 cm^2

Now, add up the areas of all the faces:
40 cm^2 + 27 cm^2 + 90 cm^2 + 72 cm^2 + 60 cm^2 = 289 cm^2

Therefore, the surface area of the triangular prism is 289 cm^2.