Mei Mei 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 1313 inches and y is 11, point, 2, 611.26 inches.
13 in
11.26 in
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If all the triangles are equilateral, how much wrapping paper did she use, in square inches?
To find the total surface area of the triangular pyramid, we need to calculate the area of each of the four triangular faces.
Each face of the triangular pyramid is an equilateral triangle with side length of 13 inches. The formula to calculate the area of an equilateral triangle is A = (√3 / 4) * s^2, where s is the side length.
Plugging in s = 13 inches, we get:
A = (√3 / 4) * 13^2
A = (√3 / 4) * 169
A = (√3 / 4) * 169
A = (1.732 / 4) * 169
A = 43.301 square inches
Since there are four faces on a triangular pyramid, the total surface area of the gift box is:
4 * 43.301 = 173.204 square inches
Therefore, Mei Mei used 173.204 square inches of wrapping paper.