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

a new answer

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of a tetrahedron, we need to find the area of each of the four triangular faces and then add them together.

The formula for the area of an equilateral triangle is A = (1/2)bh, where b is the base and h is the height.

Since each triangle has a base of 5 inches and a height of approximately 4.33 inches, we can plug these values into the formula:

A = (1/2)(5)(4.33) = 10.825 square inches

Now, since there are four congruent triangles making up the tetrahedron, we can multiply the area of one triangle by 4 to find the total surface area:

Total surface area = 4(10.825) = 43.3 square inches

Therefore, the surface area of the tetrahedron is 43.3 square inches.

Answer 2

reword

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the surface area of a tetrahedron, Corey can calculate the area of each of the four congruent equilateral triangles and then add them together. Since each triangle has a base of 5 inches and a height of approximately 4.33 inches, Corey can use the formula for the area of an equilateral triangle, which is A = (1/2)bh.

After plugging in the values for base and height, Corey can find the area of one triangle to be 10.825 square inches. Since there are four identical triangles, Corey can multiply the area of one triangle by 4 to find the total surface area of the tetrahedron, which is 43.3 square inches.

Answer 4

shorten

Answer 5

[AI-generated answer — Bot GPT 3.5]

Corey can find the surface area of the tetrahedron by calculating the area of each of the four equilateral triangles with a base of 5 inches and a height of approximately 4.33 inches. Using the formula for the area of an equilateral triangle, A = (1/2)bh, Corey can find that one triangle has an area of 10.825 square inches. Multiplying this by 4, Corey finds the total surface area of the tetrahedron to be 43.3 square inches.

Answer 6

shorter

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the tetrahedron, calculate the area of each of the four equilateral triangles with a base of 5 inches and height of approximately 4.33 inches. Using the formula A = (1/2)bh, each triangle has an area of 10.825 square inches. Multiply this by 4 to get the total surface area of the tetrahedron, which is 43.3 square inches.