## 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 .

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 .

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 .

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 .

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.

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.

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 .

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 .

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 .

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 .