To find the surface area of the triangular prism, we need to find the area of each face and then add them together.
1. The area of the top and bottom faces (triangles) can be found using the formula for the area of a triangle: 1/2 * base * height.
For both triangles, the base is 25 units and the height is 7 units.
Area of each triangle = 1/2 * 25 * 7 = 87.5 square units
Combined area of top and bottom faces = 2 * 87.5 = 175 square units
2. The area of the middle face (rectangle) can be found using the formula for the area of a rectangle: length * width.
The length of the rectangle is 24 units and the width is 100 units.
Area of the middle face = 24 * 100 = 2400 square units
Adding up the areas of all three faces:
175 (top and bottom faces) + 2400 (middle face) = 2575 square units
Therefore, the surface area of the triangular prism is 2575 square units. None of the given options match this calculation, so none of the provided responses are correct.
Surface Area of Triangular Prisms Quick Check
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Question
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
5,684 square units
5,684 square units
5,936 square units
5,936 square units
5,668 square units
5,668 square units
5,768 square units
1 answer