The surface area of the net of the triangular prism can be calculated by summing the areas of all the individual shapes.
The top and bottom rectangles have a surface area of 10 cm x 5 cm = 50 square cm each, for a total of 100 square cm.
The middle rectangle, which forms the lateral faces of the prism, has a surface area of 10 cm x 4 cm = 40 square cm.
Each triangular face has a surface area of 1/2 x base x height = 1/2 x 5 cm x 4 cm = 10 square cm, with a total of 20 square cm for both triangles.
Adding all these together, the surface area of the net of the triangular prism is 100 cm² + 40 cm² + 20 cm² = 160 cm².
Therefore, the surface area of the net of the triangular prism is 160 square centimeters.
Use the image to answer the question.
An illustration shows a net version of a triangular prism. The net model shows 3 rectangles top to bottom. Identical triangles are attached to the left and right of the middle rectangle. Parts are labeled with measurements. The top and bottom rectangles have a length measuring 10 centimeters and a width measuring 5 centimeters. The perpendicular height from the top vertex of the triangle to the base measures 4 centimeters. The base of the triangle measures 5 centimeters. The base shares an edge with the middle rectangle.
What is the surface area of the net of the triangular prism?
(1 point)
square centimeters
1 answer