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 letrahedron (4 points)
Answers
GPT 3.5
To find the surface area of the tetrahedron, Corey needs to calculate the area of each of the four congruent equilateral triangles on the net.
The formula for the area of an equilateral triangle is:
Area = (1/2) * base * height
Given that the base of each triangle is 5 inches and the height is approximately 4.33 inches, Corey can plug in these values into the formula to find the area of one triangle:
Area = (1/2) * 5 * 4.33
Area = 10.83 square inches
Since there are four congruent triangles on the tetrahedron, Corey can multiply the area of one triangle by 4 to find the total surface area of the tetrahedron:
Total Surface Area = 4 * 10.83
Total Surface Area = 43.32 square inches
Therefore, the surface area of the tetrahedron is approximately 43.32 square inches.
The formula for the area of an equilateral triangle is:
Area = (1/2) * base * height
Given that the base of each triangle is 5 inches and the height is approximately 4.33 inches, Corey can plug in these values into the formula to find the area of one triangle:
Area = (1/2) * 5 * 4.33
Area = 10.83 square inches
Since there are four congruent triangles on the tetrahedron, Corey can multiply the area of one triangle by 4 to find the total surface area of the tetrahedron:
Total Surface Area = 4 * 10.83
Total Surface Area = 43.32 square inches
Therefore, the surface area of the tetrahedron is approximately 43.32 square inches.