Using the net of the triangular prism, what is its surface area?
Numbers:10, 26, 24, 10
Answer in: mi.^2
The surface area of a triangular prism can be calculated by finding the area of each of the faces and adding them together.
First, we need to calculate the area of the two triangular faces. The formula for the area of a triangle is 1/2 base x height.
For the first triangular face, with base 10 and height 26:
Area = 1/2 x 10 x 26 = 130 mi.^2
For the second triangular face, with base 10 and height 24:
Area = 1/2 x 10 x 24 = 120 mi.^2
Next, we need to calculate the area of the three rectangular faces. The formula for the area of a rectangle is length x width.
For the first rectangular face, with dimensions 10 x 26:
Area = 10 x 26 = 260 mi.^2
For the second rectangular face, with dimensions 10 x 24:
Area = 10 x 24 = 240 mi.^2
For the third rectangular face, with dimensions 24 x 26:
Area = 24 x 26 = 624 mi.^2
Finally, we add all the areas together to get the total surface area of the triangular prism:
Total Surface Area = 130 + 120 + 260 + 240 + 624 = 1374 mi.^2
Therefore, the surface area of the triangular prism is 1374 mi.^2.
Options:
270
1,200
870
240
The correct surface area of the triangular prism is 1374 mi^2.
None of the provided options match the correct answer.