To calculate the surface area of the teepee dog bed, we need to find the area of the two equilateral triangular faces and the area of the base triangle.
The formula for the area of an equilateral triangle is A = (sqrt(3) / 4) * s^2 where s is the side length of the triangle.
First, let's calculate the area of the equilateral triangles:
A = (sqrt(3) / 4) * 30^2
A = (1.732 / 4) * 900
A = 0.433 * 900
A = 389.7 in^2 (for each equilateral triangle)
Now let's calculate the area of the base triangle:
A = (1/2) * base * height
A = (1/2) * 30 * 26
A = 15 * 26
A = 390 in^2
Finally, add the areas of the two equilateral triangles and the base triangle to find the total fabric needed:
389.7 in^2 * 2 + 390 in^2 = 1,169.4 in^2 + 390 in^2 = 1,559.4 in^2
Therefore, the answer is 1,559.4 in. squared.
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
1,495 in.2
1,495 in. squared
1,515 in.2
1,515 in. squared
1,450 in.2
1,450 in. squared
1,365 in.2
1 answer
1 answer