To find the surface area of a triangular prism, we need to calculate the area of each face and then add them together.
The net of a triangular prism consists of 5 faces: 3 rectangular faces and 2 triangular faces.
Given that the dimensions of the triangles are 10ft, 26ft, and 24ft, the areas of the two triangular faces can be calculated using the formula for the area of a triangle:
Area = 0.5 * base * height
In this case:
Area = 0.5 * 10ft * 26ft = 130 ft^2 (for each triangle)
Next, we calculate the areas of the rectangular faces. Since we know the dimensions are 10ft by 24ft, this means the two rectangular faces each have an area of:
Area = length * width
Area = 10ft * 24ft = 240 ft^2
Now, one of the rectangular faces will be the base of the prism, so we only count one of them in the surface area calculation.
Therefore, the total surface area of the triangular prism is the sum of all these areas:
Total surface area = 2(130 ft^2) + 2(240 ft^2) + 10ft * 24ft
Total surface area = 260 ft^2 + 480 ft^2 + 240 ft^2
Total surface area = 980 ft^2
Therefore, the surface area of the triangular prism is 980 square feet.
Using the net of the triangular prism what is its surface area 10ft 26ft 24 ft 10 ft
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