To calculate the amount of fabric needed, we first need to find the area of one of the equilateral triangles that form the teepee.
The formula for the area of an equilateral triangle is:
Area = (sqrt(3) / 4) * side^2
Given that the base of the equilateral triangle is 30 in, the area of one triangle is:
Area = (sqrt(3) / 4) * 30^2
Area = (1.732 / 4) * 900
Area = 389.7 in^2
Since there are three equilateral triangles forming the teepee and a square base, the total amount of fabric needed is:
3 * 389.7 + 26 * 30
1169 + 780
= 1,949 in^2
Therefore, the correct answer is not provided in the options given.
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.
1,450 in. squared
1,495 in. squared
1,365 in. squared
1,515 in. squared
1 answer
1 answer