Use the image to answer the question.

Question

An illustration shows a two-dimensional net of a triangular prism with all of its sides open and visible. The net appears as three horizontal rectangles joined next to each other. All 4 sides of the middle rectangle are drawn with dashed lines. The width of the 3 rectangles is 1 centimeter. The length of the outer rectangles is 2.5 centimeters. The length of the middle rectangle is 3 centimeters. Two right triangles adjoin the middle rectangle on the top and bottom along the 3 centimeter side, with their perpendicular height measuring 2 centimeters. A right angle is shown where the perpendicular height intersects with the triangle base.

What is the surface area of the triangular prism whose net is shown?

(1 point)
Responses

6 cm2
6 cm squared

14 cm2
14 cm squared

8 cm2
8 cm squared

2.48 cm2

Answer 1

To find the surface area of the triangular prism, we first need to calculate the area of each individual shape on the net.

- Area of each outer rectangle: 2.5 cm (length) x 1 cm (width) = 2.5 cm2
- Area of the middle rectangle: 3 cm (length) x 1 cm (width) = 3 cm2
- Area of each right triangle: 0.5 x 2 cm (base) x 2 cm (height) = 2 cm2

Now, we add the areas of all the shapes together to find the total surface area of the triangular prism:

Surface area = 2 x (2.5 cm2) + 2 x (2 cm2) + 3 cm2
Surface area = 5 cm2 + 4 cm2 + 3 cm2
Surface area = 12 cm2

Therefore, the surface area of the triangular prism is 12 cm2.