To find the total surface area of the teepee, we need to find the area of each triangular face and the area of the base triangle.
1. Area of each triangular face:
Area = 0.5 * base * slant height
Area = 0.5 * 30 in * 25 in
Area = 375 in^2
Since there are two triangular faces, the total area for both triangular faces is 2 * 375 in^2 = 750 in^2
2. Area of the base triangle:
Area = 0.5 * base * height
Area = 0.5 * 30 in * 26 in
Area = 390 in^2
3. Total surface area:
750 in^2 (triangular faces) + 390 in^2 (base triangle) = 1140 in^2
Therefore, the answer is 1,140 in^2. None of the given options match exactly, but the closest option is 1,365 in^2.
A teepee dog bed is in the shape of a triangular pyramid. How much fabric is needed to make the teepee given the following dimensions?
The slant height of the equilateral triangular faces is 25 in.
The height of the base triangle is 26 in.
The base of the equilateral triangles is 30 in.
(1 point)
Responses
1,365 in.2
1,365 in. squared
1,495 in.2
1,495 in. squared
1,450 in.2
1,450 in. squared
1,515 in.2
1 answer