To find the surface area of the tetrahedron, Corey should calculate the area of each of the four congruent, equilateral triangles on the net and then add them together.
The formula to find the area of an equilateral triangle is:
Area = (base * height) / 2
Plugging in the values given, Corey can calculate the area of one equilateral triangle as follows:
Area = (5 * 4.33) / 2
Area = (21.65) / 2
Area = 10.825 square inches
Since there are four congruent triangles making up the tetrahedron, Corey should multiply the area of one triangle by 4 to find the total surface area of the tetrahedron:
Total Surface Area = 10.825 * 4
Total Surface Area = 43.3 square inches
Therefore, the surface area of the tetrahedron is 43.3 square inches.
Corey is trying to find the surface area of a tetrahedron. They sketch a net of the tetrahedron on their paper. The net shows four congruent, equilateral triangles, each with a base of 5 inches and a height of approximately 4.33 inches. What should Corey do next? Help Corey to find the surface area of the tetrahedron.
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