Surface Area of Triangular Prisms Quick Check
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Question
Use the image to answer the 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 vertical rectangles placed vertically one on top of the other. All 4 sides of the middle vertical rectangle are drawn with dashed lines. The width of the rectangles is 10 miles. The length of the middle rectangle is 24 miles. Two right triangles adjoin the middle rectangle on the left and right sides, with each base measuring 10 miles and each hypotenuse measuring 26 miles.
Using the net of the triangular prism, what is its surface area?
(1 point)
Responses
1,200 mi.2
1,200 mi. squared
840 mi.2
840 mi. squared
720 mi.2
720 mi. squared
240 mi.2
240 mi. squared
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The correct response is 840 mi.2 or 840 mi. squared.
To calculate the surface area of the triangular prism, we need to find the areas of the three rectangles that make up the net.
The area of the top and bottom rectangles is:
Length x Width = 24 mi x 10 mi = 240 mi2
The area of the middle rectangle is:
Height x Width = 26 mi x 10 mi = 260 mi2
Adding the areas of the three rectangles together:
240 mi2 + 240 mi2 + 260 mi2 = 840 mi2
Therefore, the surface area of the triangular prism is 840 mi2.