What is the surface area of the triangular prism? Round the answer to the nearest tenth. 8cm 8cm 6.9 8cm 6cm

Answer 1

To find the surface area of a triangular prism, you need to find the area of the two triangular bases and the three rectangular sides.

First, calculate the area of the two triangular bases:
Area of a triangle = 0.5 * base * height

For the triangular base with base 6cm and height 8cm:
Area = 0.5 * 6cm * 8cm = 24 square cm

For the other triangular base with base 8cm and height 6.9cm:
Area = 0.5 * 8cm * 6.9cm = 27.6 square cm

Now, calculate the area of the three rectangular sides:
Side 1: 8cm * 6.9cm = 55.2 square cm
Side 2: 8cm * 8cm = 64 square cm
Side 3: 6.9cm * 6cm = 41.4 square cm

Add up the areas:
24 + 27.6 + 55.2 + 64 + 41.4 = 212.2 square cm

Therefore, the surface area of the triangular prism is 212.2 square cm. (rounded to the nearest tenth)