Surface Area of Triangular Prisms Practice
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Question
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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
To find the surface area of the net of the triangular prism, we first need to calculate the areas of each individual shape and then sum them up.
1. Area of the top rectangle: 10 cm * 5 cm = 50 square cm
2. Area of the bottom rectangle: 10 cm * 5 cm = 50 square cm
3. Area of the middle rectangle: 10 cm * 4 cm = 40 square cm
4. Area of the left triangle: (1/2) * 5 cm * 4 cm = 10 square cm
5. Area of the right triangle: (1/2) * 5 cm * 4 cm = 10 square cm
Adding up all the areas:
50 square cm (top rectangle) + 50 square cm (bottom rectangle) + 40 square cm (middle rectangle) + 10 square cm (left triangle) + 10 square cm (right triangle) = 160 square cm
Therefore, the surface area of the net of the triangular prism is 160 square centimeters.