The area of the base of a triangular pyramid with faces that are equilateral triangles is 64 ft squared. Can you find the surface area of the pyramid? Explain. Here are the choices

A. No, because the area of the base of a pyramid is not related to the area of its faces, so the surface area cannot be found without more information.

b. No, because the base of a pyramid with equilateral triangle faces does not necessarily have the same area as its equilateral faces.

C. Yes, because the area of the base of a triangular pyramid with equilateral triangles for faces is the same as the area of each face.

D. Yes, because the area of the base will be the edge length of each face, which can be used to find the area of each face

Question

Nasir

Mathematics

24 February, 18:54

The area of the base of a triangular pyramid with faces that are equilateral triangles is 64 ft squared. Can you find the surface area of the pyramid? Explain. Here are the choices

A. No, because the area of the base of a pyramid is not related to the area of its faces, so the surface area cannot be found without more information.

b. No, because the base of a pyramid with equilateral triangle faces does not necessarily have the same area as its equilateral faces.

C. Yes, because the area of the base of a triangular pyramid with equilateral triangles for faces is the same as the area of each face.

D. Yes, because the area of the base will be the edge length of each face, which can be used to find the area of each face

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Answers (1)

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Meadow Sloan · Answer 1

C.

Step-by-step explanation:

Yes, because the area of the base of a triangular pyramid with equilateral triangles for faces is the same as the area of each face.

So the surface area is 64 * 4 which is 256