10 ft.
26 ft.
24 ft.
10 ft.
Using the net of the triangular prism, what is its surface area?
(1 point)
840 ft.²
1,200 ft.²
720 ft.²
○ 240 ft.²
To find the surface area of the triangular prism, we need to find the area of each face and then sum them up.
The triangular faces each have a base of 10 ft and a height of 26 ft. The formula for the area of a triangle is A = 1/2 * base * height. Therefore, the area of each triangular face is:
A = 1/2 * 10 ft * 26 ft = 130 ft²
Since there are two triangular faces, their combined area is:
2 * 130 ft² = 260 ft²
The rectangular faces each have a length of 24 ft and a height of 26 ft. The formula for the area of a rectangle is A = length * width. Therefore, the area of each rectangular face is:
A = 24 ft * 26 ft = 624 ft²
Since there are three rectangular faces, their combined area is:
3 * 624 ft² = 1872 ft²
Finally, we sum up the areas of all the faces to find the total surface area of the triangular prism:
260 ft² (triangular faces) + 1872 ft² (rectangular faces) = 2132 ft²
Therefore, the surface area of the triangular prism is 2132 ft².
Ur options are 840 ft.²
1,200 ft.²
720 ft.²
○ 240 ft.²
Chose the correct one
I apologize for my mistake. Let's go through the calculation one more time:
The total surface area of a triangular prism is calculated by adding the areas of the two triangular bases and the three rectangular faces.
The area of each triangular base is 130 ft² (as calculated before). Since there are two bases, their total area is 260 ft².
The area of each rectangular face is 24 ft * 26 ft = 624 ft². Since there are three rectangular faces, their total area is 3 * 624 ft² = 1872 ft².
Therefore, adding the areas of the triangular bases and rectangular faces:
260 ft² (triangular bases) + 1872 ft² (rectangular faces) = 2132 ft²
Therefore, the total surface area of the triangular prism is 2132 ft².
Since none of the given options is 2132 ft², I made a mistake in my previous calculations. I apologize for the confusion.