Advanced Geometry : Tetrahedrons

Study concepts, example questions & explanations for Advanced Geometry

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Example Questions

Example Question #4 : How To Find The Surface Area Of A Tetrahedron

Find the surface area of a regular tetrahedron with a side length of .

Possible Answers:

Correct answer:

Explanation:

Use the following formula to find the surface area of a regular tetrahedron.

Now, substitute in the value of the side length into the equation.

Example Question #5 : How To Find The Surface Area Of A Tetrahedron

In terms of , find the surface area of a regular tetrahedron that has a side length of .

Possible Answers:

Correct answer:

Explanation:

Use the following formula to find the surface area of a regular tetrahedron.

Now, substitute in the value of the side length into the equation.

Example Question #6 : How To Find The Surface Area Of A Tetrahedron

In terms of , find the surface area of a regular tetrahedron with side lengths of .

Possible Answers:

Correct answer:

Explanation:

Use the following formula to find the surface area of a regular tetrahedron.

Now, substitute in the value of the side length into the equation.

Example Question #7 : How To Find The Surface Area Of A Tetrahedron

The surface area of a regular tetrahedron is . If the length of each side is , find the value of .

Possible Answers:

Correct answer:

Explanation:

Use the following formula to find the surface area of a regular tetrahedron.

Now, substitute in the value of the side length into the equation.

Now, solve for .

Example Question #8 : How To Find The Surface Area Of A Tetrahedron

The surface area of a regular tetrahedron is . If each side length is , find the value of . Round to the nearest tenths place.

Possible Answers:

Correct answer:

Explanation:

Use the following formula to find the surface area of a regular tetrahedron.

Now, substitute in the value of the side length into the equation.

Solve for .

Example Question #9 : How To Find The Surface Area Of A Tetrahedron

The surface area of a regular tetrahedron is . If each side length is , find the value of . Round to the nearest tenths place.

Possible Answers:

Correct answer:

Explanation:

Use the following formula to find the surface area of a regular tetrahedron.

Now, substitute in the value of the side length into the equation.

 

Example Question #10 : How To Find The Surface Area Of A Tetrahedron

The surface area of a regular tetrahedron is . If each side length is , find the value of .

Possible Answers:

Correct answer:

Explanation:

Use the following formula to find the surface area of a regular tetrahedron.

Now, substitute in the value of the side length into the equation and solve for .

Since we are dealing with a 3-dimensional shape, only  is valid.

Example Question #21 : Tetrahedrons

In terms of , find the surface area of a regular tetrahedron with side lengths .

Possible Answers:

Correct answer:

Explanation:

Use the following formula to find the surface area of a regular tetrahedron.

Now, substitute in the value of the side length into the equation.

Example Question #22 : Tetrahedrons

Find the surface area of a regular tetrahedron with a side length of .

Possible Answers:

Correct answer:

Explanation:

Use the following formula to find the surface area of a regular tetrahedron.

Now, substitute in the value of the side length into the equation.

Example Question #23 : Tetrahedrons

In terms of , find the surface area of a regular tetrahedron with a side length of .

Possible Answers:

Correct answer:

Explanation:

Use the following formula to find the surface area of a regular tetrahedron.

Now, substitute in the value of the side length into the equation.

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