Question

Use the image to answer the question. What is the surface area of the triangular prism? (1 point)

length: 4 cm, width: 11 cm, hight, 3 cm, vertex: 5 cm.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the triangular prism, we first need to find the area of each individual face and then add them up.

The triangular faces have a base of 4 cm and a height of 3 cm, so the area of each triangular face is:
(1/2) * base * height = (1/2) * 4 cm * 3 cm = 6 cm²

There are two triangular faces, so their combined area is:
2 * 6 cm² = 12 cm²

Now we need to find the area of the three rectangular faces. Each rectangular face has dimensions 4 cm x 5 cm, 5 cm x 11 cm, and 4 cm x 11 cm.

The area of the rectangle with sides 4 cm and 5 cm is:
4 cm * 5 cm = 20 cm²

The area of the rectangle with sides 5 cm and 11 cm is:
5 cm * 11 cm = 55 cm²

The area of the rectangle with sides 4 cm and 11 cm is:
4 cm * 11 cm = 44 cm²

Now we add up the areas of all the faces to find the total surface area of the triangular prism:
12 cm² + 20 cm² + 55 cm² + 44 cm² = 131 cm²

Therefore, the surface area of the triangular prism is 131 cm².