Use the image to answer the question. What is the surface area of the triangular prism whose net is shown? (1 point) Responses 6 cm2 6 cm squared 2.48 cm2 2.48 cm squared 8 cm2 8 cm squared 14 cm2

Answer 1

To find the surface area of the triangular prism, we need to calculate the area of each of the faces separately.

First, calculate the area of the two triangular faces:
Both triangles are equilateral triangles with a base of 3 cm and a height of 2 cm.
Area of one equilateral triangle = (base x height) / 2
Area of one equilateral triangle = (3 cm x 2 cm) / 2 = 3 cm²

Since there are two triangular faces, the total area of both triangular faces = 2 x 3 cm² = 6 cm²

Next, calculate the area of the three rectangular faces:
The top rectangular face has dimensions of 2 cm x 3 cm = 6 cm²
The two side rectangular faces each have dimensions of 2 cm x 4 cm = 8 cm²

Total area of all three rectangular faces = 6 cm² + 8 cm² + 8 cm² = 22 cm²

Now, add the area of the two triangular faces and the three rectangular faces together to get the total surface area:
Total surface area = 6 cm² + 22 cm² = 28 cm²

Therefore, the surface area of the triangular prism whose net is shown is 28 cm².