Question
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.(4 points)
Answers
GPT 3.5
Next, Corey should calculate the area of one of the equilateral triangles on the net. The formula for the area of an equilateral triangle is A = (1/2) * base * height. Plugging in the values, A = (1/2) * 5 * 4.33 = 10.825 square inches.
Since there are four congruent equilateral triangles on the tetrahedron, Corey should then multiply the area of one triangle by 4 to find the total surface area of the tetrahedron. So, the surface area of the tetrahedron is 10.825 * 4 = 43.3 square inches.
Therefore, Corey has found the surface area of the tetrahedron to be 43.3 square inches.
Since there are four congruent equilateral triangles on the tetrahedron, Corey should then multiply the area of one triangle by 4 to find the total surface area of the tetrahedron. So, the surface area of the tetrahedron is 10.825 * 4 = 43.3 square inches.
Therefore, Corey has found the surface area of the tetrahedron to be 43.3 square inches.