To find the surface area of a triangular prism, you need to calculate the area of each of the three rectangles and two triangles that make up the net.
Area of top rectangle: 100 * 24 = 2400 square units
Area of bottom rectangle: 100 * 24 = 2400 square units
Area of middle rectangle: 100 * 24 = 2400 square units
Area of left triangle: (1/2) * 7 * 24 = 84 square units
Area of right triangle: (1/2) * 7 * 24 = 84 square units
Total surface area: 2400 (top) + 2400 (bottom) + 2400 (middle) + 84 (left triangle) + 84 (right triangle) = 6368 square units
Therefore, the correct answer is not listed. The closest option is 5,668 square units, but the correct surface area is actually 6,368 square units.
Use the image to answer the question.
Long Description (if needed) The net appears as three horizontal rectangles joined one on top of another. The sides of the middle rectangle are drawn with dashed lines. The width of the rectangles is 100 units. The height of the middle rectangle is 24 units. The middle rectangle has a right triangle adjoining its left side. The length of the hypotenuse of the triangle is 25 units and the length of its horizontal side at the top of the triangle is 7 units. An unmarked triangle the same size and shape as the other triangle adjoins the right side of the middle rectangle. The height of the top triangle is 7 units.
The net of a triangular prism is shown. What is the surface area of the triangular prism?
(1 point)
Responses
5,668 square units
5,668 square units
5,768 square units
5,768 square units
5,684 square units
5,684 square units
5,936 square units
5,936 square units
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1 answer
3 answers