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
1,450 in.2
1,450 in. squared
1,495 in.2
1,495 in. squared
1,365 in.2
1,365 in. squared
1,515 in.2
1,450 in.2
why is it 1450 inches though
To find the total surface area of the teepee, we need to calculate the area of each of the triangular faces and the base.
1. Area of the triangular faces:
Each triangular face is an equilateral triangle, with a base of 30 inches and a height (slant height) of 25 inches. The formula for the area of an equilateral triangle is (1/2) * base * height.
Area = (1/2) * 30 in * 25 in = 375 in2 (for each face)
Since the teepee has 4 faces, the total area of the triangular faces is 4 * 375 in2 = 1500 in2
2. Area of the base:
The base of the teepee is also a triangle with base 30 inches and height 26 inches. The formula for the area of a triangle is (1/2) * base * height.
Area = (1/2) * 30 in * 26 in = 390 in2
Adding the area of the triangular faces and the base:
Total area = 1500 in2 + 390 in2 = 1890 in2
Therefore, the correct answer is not in the provided options. The correct answer is 1,890 in.2. Apologies for the confusion in the previous response.