To calculate the surface area of the triangular pyramid, we need to find the area of each of the four triangular faces and the square base.
The area of an equilateral triangle is given by the formula A = (sqrt(3)/4) * s^2, where s is the length of a side of the triangle.
For the triangular faces:
A = (sqrt(3)/4)*9.53^2 = 31.146 square feet
Since there are four triangular faces, the total area of the triangular faces is:
4 * 31.146 = 124.584 square feet
For the square base:
A = 11^2 = 121 square feet
Therefore, the total wrapping paper used is:
124.584 (triangular faces) + 121 (square base) = 245.584 square feet
Elijah used 245.584 square feet of wrapping paper for the gift box in the shape of a triangular pyramid.
Elijah wraps a gift box in the shape of a triangular pyramid. The figure below shows a net for the gift box.On the tactile printout of the following graphs, x is 1111 feet and y is 9, point, 5, 39.53 feet.
11 ft
9.53 ft
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If all the triangles are equilateral, how much wrapping paper did he use, in square feet?
1 answer