How to find the volume of a tetrahedron - ACT Math

Card 0 of 27

Question

Find the volume of a regular tetrahedron if one of its edges is $\sqrt[3]{6}:cm$ long.

Answer

Write the volume equation for a tetrahedron.

$V=\frac{e^3}{6\sqrt2}$

In this formula, stands for the tetrahedron's volume and stands for the length of one of its edges.

Substitute the given edge length and solve.

$V=\frac{(\sqrt[3]6:cm)^3}{6\sqrt2} = \frac{6:cm^3}{6\sqrt2}= \frac{1}{\sqrt2}:cm$

Rationalize the denominator.

$\frac{1}{\sqrt2}:cm\cdot \frac{\sqrt2}{\sqrt2} = \frac{\sqrt2}{2}:cm$

Compare your answer with the correct one above

Question

Find the volume of a tetrahedron if the side length is $\frac{1}{6}$ .

Answer

Write the equation to find the volume of a tetrahedron.

$V=\frac{a^3}{6\sqrt2}$

Substitute the side length and solve for the volume.

$V=\frac{(\frac{1}{6})^3}{6\sqrt2}= \frac{1}{216}\left(\frac{1}{6\sqrt2}\right)= \frac{1}{1296\sqrt2}$

Rationalize the denominator.

$V=\frac{1}{1296\sqrt2} \cdot \frac{\sqrt2}{\sqrt2}= \frac{\sqrt2}{1296\cdot 2} = \frac{\sqrt2}{2592}$

Compare your answer with the correct one above

Question

What is the volume of a regular tetrahedron with an edge length of 6?

Answer

The volume of a tetrahedron can be solved for by using the equation:

$V= \frac{a^3}{6\sqrt{2}}$

where is the measurement of the edge of the tetrahedron.

This problem can be quickly solved by substituting 6 in for .

$V=\frac{6^3}{6\sqrt{2}}=\frac{216}{6\sqrt{2}}=\frac{36}{\sqrt{2}}$

${\color{Blue} V=25.5}$

Compare your answer with the correct one above

Question

Find the volume of a regular tetrahedron if one of its edges is $\sqrt[3]{6}:cm$ long.

Answer

Write the volume equation for a tetrahedron.

$V=\frac{e^3}{6\sqrt2}$

In this formula, stands for the tetrahedron's volume and stands for the length of one of its edges.

Substitute the given edge length and solve.

$V=\frac{(\sqrt[3]6:cm)^3}{6\sqrt2} = \frac{6:cm^3}{6\sqrt2}= \frac{1}{\sqrt2}:cm$

Rationalize the denominator.

$\frac{1}{\sqrt2}:cm\cdot \frac{\sqrt2}{\sqrt2} = \frac{\sqrt2}{2}:cm$

Compare your answer with the correct one above

Question

Find the volume of a tetrahedron if the side length is $\frac{1}{6}$ .

Answer

Write the equation to find the volume of a tetrahedron.

$V=\frac{a^3}{6\sqrt2}$

Substitute the side length and solve for the volume.

$V=\frac{(\frac{1}{6})^3}{6\sqrt2}= \frac{1}{216}\left(\frac{1}{6\sqrt2}\right)= \frac{1}{1296\sqrt2}$

Rationalize the denominator.

$V=\frac{1}{1296\sqrt2} \cdot \frac{\sqrt2}{\sqrt2}= \frac{\sqrt2}{1296\cdot 2} = \frac{\sqrt2}{2592}$

Compare your answer with the correct one above

Question

What is the volume of a regular tetrahedron with an edge length of 6?

Answer

The volume of a tetrahedron can be solved for by using the equation:

$V= \frac{a^3}{6\sqrt{2}}$

where is the measurement of the edge of the tetrahedron.

This problem can be quickly solved by substituting 6 in for .

$V=\frac{6^3}{6\sqrt{2}}=\frac{216}{6\sqrt{2}}=\frac{36}{\sqrt{2}}$

${\color{Blue} V=25.5}$

Compare your answer with the correct one above

Question

Find the volume of a regular tetrahedron if one of its edges is $\sqrt[3]{6}:cm$ long.

Answer

Write the volume equation for a tetrahedron.

$V=\frac{e^3}{6\sqrt2}$

In this formula, stands for the tetrahedron's volume and stands for the length of one of its edges.

Substitute the given edge length and solve.

$V=\frac{(\sqrt[3]6:cm)^3}{6\sqrt2} = \frac{6:cm^3}{6\sqrt2}= \frac{1}{\sqrt2}:cm$

Rationalize the denominator.

$\frac{1}{\sqrt2}:cm\cdot \frac{\sqrt2}{\sqrt2} = \frac{\sqrt2}{2}:cm$

Compare your answer with the correct one above

Question

Find the volume of a tetrahedron if the side length is $\frac{1}{6}$ .

Answer

Write the equation to find the volume of a tetrahedron.

$V=\frac{a^3}{6\sqrt2}$

Substitute the side length and solve for the volume.

$V=\frac{(\frac{1}{6})^3}{6\sqrt2}= \frac{1}{216}\left(\frac{1}{6\sqrt2}\right)= \frac{1}{1296\sqrt2}$

Rationalize the denominator.

$V=\frac{1}{1296\sqrt2} \cdot \frac{\sqrt2}{\sqrt2}= \frac{\sqrt2}{1296\cdot 2} = \frac{\sqrt2}{2592}$

Compare your answer with the correct one above

Question

What is the volume of a regular tetrahedron with an edge length of 6?

Answer

The volume of a tetrahedron can be solved for by using the equation:

$V= \frac{a^3}{6\sqrt{2}}$

where is the measurement of the edge of the tetrahedron.

This problem can be quickly solved by substituting 6 in for .

$V=\frac{6^3}{6\sqrt{2}}=\frac{216}{6\sqrt{2}}=\frac{36}{\sqrt{2}}$

${\color{Blue} V=25.5}$

Compare your answer with the correct one above

Question

Find the volume of a regular tetrahedron if one of its edges is $\sqrt[3]{6}:cm$ long.

Answer

Write the volume equation for a tetrahedron.

$V=\frac{e^3}{6\sqrt2}$

In this formula, stands for the tetrahedron's volume and stands for the length of one of its edges.

Substitute the given edge length and solve.

$V=\frac{(\sqrt[3]6:cm)^3}{6\sqrt2} = \frac{6:cm^3}{6\sqrt2}= \frac{1}{\sqrt2}:cm$

Rationalize the denominator.

$\frac{1}{\sqrt2}:cm\cdot \frac{\sqrt2}{\sqrt2} = \frac{\sqrt2}{2}:cm$

Compare your answer with the correct one above

Question

Find the volume of a tetrahedron if the side length is $\frac{1}{6}$ .

Answer

Write the equation to find the volume of a tetrahedron.

$V=\frac{a^3}{6\sqrt2}$

Substitute the side length and solve for the volume.

$V=\frac{(\frac{1}{6})^3}{6\sqrt2}= \frac{1}{216}\left(\frac{1}{6\sqrt2}\right)= \frac{1}{1296\sqrt2}$

Rationalize the denominator.

$V=\frac{1}{1296\sqrt2} \cdot \frac{\sqrt2}{\sqrt2}= \frac{\sqrt2}{1296\cdot 2} = \frac{\sqrt2}{2592}$

Compare your answer with the correct one above

Question

What is the volume of a regular tetrahedron with an edge length of 6?

Answer

The volume of a tetrahedron can be solved for by using the equation:

$V= \frac{a^3}{6\sqrt{2}}$

where is the measurement of the edge of the tetrahedron.

This problem can be quickly solved by substituting 6 in for .

$V=\frac{6^3}{6\sqrt{2}}=\frac{216}{6\sqrt{2}}=\frac{36}{\sqrt{2}}$

${\color{Blue} V=25.5}$

Compare your answer with the correct one above

Question

Find the volume of a regular tetrahedron if one of its edges is $\sqrt[3]{6}:cm$ long.

Answer

Write the volume equation for a tetrahedron.

$V=\frac{e^3}{6\sqrt2}$

In this formula, stands for the tetrahedron's volume and stands for the length of one of its edges.

Substitute the given edge length and solve.

$V=\frac{(\sqrt[3]6:cm)^3}{6\sqrt2} = \frac{6:cm^3}{6\sqrt2}= \frac{1}{\sqrt2}:cm$

Rationalize the denominator.

$\frac{1}{\sqrt2}:cm\cdot \frac{\sqrt2}{\sqrt2} = \frac{\sqrt2}{2}:cm$

Compare your answer with the correct one above

Question

Find the volume of a tetrahedron if the side length is $\frac{1}{6}$ .

Answer

Write the equation to find the volume of a tetrahedron.

$V=\frac{a^3}{6\sqrt2}$

Substitute the side length and solve for the volume.

$V=\frac{(\frac{1}{6})^3}{6\sqrt2}= \frac{1}{216}\left(\frac{1}{6\sqrt2}\right)= \frac{1}{1296\sqrt2}$

Rationalize the denominator.

$V=\frac{1}{1296\sqrt2} \cdot \frac{\sqrt2}{\sqrt2}= \frac{\sqrt2}{1296\cdot 2} = \frac{\sqrt2}{2592}$

Compare your answer with the correct one above

Question

What is the volume of a regular tetrahedron with an edge length of 6?

Answer

The volume of a tetrahedron can be solved for by using the equation:

$V= \frac{a^3}{6\sqrt{2}}$

where is the measurement of the edge of the tetrahedron.

This problem can be quickly solved by substituting 6 in for .

$V=\frac{6^3}{6\sqrt{2}}=\frac{216}{6\sqrt{2}}=\frac{36}{\sqrt{2}}$

${\color{Blue} V=25.5}$

Compare your answer with the correct one above

Question

Find the volume of a regular tetrahedron if one of its edges is $\sqrt[3]{6}:cm$ long.

Answer

Write the volume equation for a tetrahedron.

$V=\frac{e^3}{6\sqrt2}$

In this formula, stands for the tetrahedron's volume and stands for the length of one of its edges.

Substitute the given edge length and solve.

$V=\frac{(\sqrt[3]6:cm)^3}{6\sqrt2} = \frac{6:cm^3}{6\sqrt2}= \frac{1}{\sqrt2}:cm$

Rationalize the denominator.

$\frac{1}{\sqrt2}:cm\cdot \frac{\sqrt2}{\sqrt2} = \frac{\sqrt2}{2}:cm$

Compare your answer with the correct one above

Question

Find the volume of a tetrahedron if the side length is $\frac{1}{6}$ .

Answer

Write the equation to find the volume of a tetrahedron.

$V=\frac{a^3}{6\sqrt2}$

Substitute the side length and solve for the volume.

$V=\frac{(\frac{1}{6})^3}{6\sqrt2}= \frac{1}{216}\left(\frac{1}{6\sqrt2}\right)= \frac{1}{1296\sqrt2}$

Rationalize the denominator.

$V=\frac{1}{1296\sqrt2} \cdot \frac{\sqrt2}{\sqrt2}= \frac{\sqrt2}{1296\cdot 2} = \frac{\sqrt2}{2592}$

Compare your answer with the correct one above

Question

What is the volume of a regular tetrahedron with an edge length of 6?

Answer

The volume of a tetrahedron can be solved for by using the equation:

$V= \frac{a^3}{6\sqrt{2}}$

where is the measurement of the edge of the tetrahedron.

This problem can be quickly solved by substituting 6 in for .

$V=\frac{6^3}{6\sqrt{2}}=\frac{216}{6\sqrt{2}}=\frac{36}{\sqrt{2}}$

${\color{Blue} V=25.5}$

Compare your answer with the correct one above

Question

Find the volume of a regular tetrahedron if one of its edges is $\sqrt[3]{6}:cm$ long.

Answer

Write the volume equation for a tetrahedron.

$V=\frac{e^3}{6\sqrt2}$

In this formula, stands for the tetrahedron's volume and stands for the length of one of its edges.

Substitute the given edge length and solve.

$V=\frac{(\sqrt[3]6:cm)^3}{6\sqrt2} = \frac{6:cm^3}{6\sqrt2}= \frac{1}{\sqrt2}:cm$

Rationalize the denominator.

$\frac{1}{\sqrt2}:cm\cdot \frac{\sqrt2}{\sqrt2} = \frac{\sqrt2}{2}:cm$

Compare your answer with the correct one above

Question

Find the volume of a tetrahedron if the side length is $\frac{1}{6}$ .

Answer

Write the equation to find the volume of a tetrahedron.

$V=\frac{a^3}{6\sqrt2}$

Substitute the side length and solve for the volume.

$V=\frac{(\frac{1}{6})^3}{6\sqrt2}= \frac{1}{216}\left(\frac{1}{6\sqrt2}\right)= \frac{1}{1296\sqrt2}$

Rationalize the denominator.

$V=\frac{1}{1296\sqrt2} \cdot \frac{\sqrt2}{\sqrt2}= \frac{\sqrt2}{1296\cdot 2} = \frac{\sqrt2}{2592}$

Compare your answer with the correct one above

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How to find the volume of a tetrahedron - ACT Math

Find the volume of a regular tetrahedron if one of its edges is long.

Write the volume equation for a tetrahedron. In this formula, stands for the tetrahedron's volume and stands for the length of one of its edges. Substitute the given edge length and solve. Rationalize the denominator.

Find the volume of a tetrahedron if the side length is .

Write the equation to find the volume of a tetrahedron. Substitute the side length and solve for the volume. Rationalize the denominator.

What is the volume of a regular tetrahedron with an edge length of 6?

The volume of a tetrahedron can be solved for by using the equation: where is the measurement of the edge of the tetrahedron. This problem can be quickly solved by substituting 6 in for .

Find the volume of a regular tetrahedron if one of its edges is long.

Write the volume equation for a tetrahedron. In this formula, stands for the tetrahedron's volume and stands for the length of one of its edges. Substitute the given edge length and solve. Rationalize the denominator.

Find the volume of a tetrahedron if the side length is .

Write the equation to find the volume of a tetrahedron. Substitute the side length and solve for the volume. Rationalize the denominator.

What is the volume of a regular tetrahedron with an edge length of 6?

The volume of a tetrahedron can be solved for by using the equation: where is the measurement of the edge of the tetrahedron. This problem can be quickly solved by substituting 6 in for .

Find the volume of a regular tetrahedron if one of its edges is long.

Write the volume equation for a tetrahedron. In this formula, stands for the tetrahedron's volume and stands for the length of one of its edges. Substitute the given edge length and solve. Rationalize the denominator.

Find the volume of a tetrahedron if the side length is .

Write the equation to find the volume of a tetrahedron. Substitute the side length and solve for the volume. Rationalize the denominator.

What is the volume of a regular tetrahedron with an edge length of 6?

The volume of a tetrahedron can be solved for by using the equation: where is the measurement of the edge of the tetrahedron. This problem can be quickly solved by substituting 6 in for .

Find the volume of a regular tetrahedron if one of its edges is long.

Write the volume equation for a tetrahedron. In this formula, stands for the tetrahedron's volume and stands for the length of one of its edges. Substitute the given edge length and solve. Rationalize the denominator.

Find the volume of a tetrahedron if the side length is .

Write the equation to find the volume of a tetrahedron. Substitute the side length and solve for the volume. Rationalize the denominator.

What is the volume of a regular tetrahedron with an edge length of 6?

The volume of a tetrahedron can be solved for by using the equation: where is the measurement of the edge of the tetrahedron. This problem can be quickly solved by substituting 6 in for .

Find the volume of a regular tetrahedron if one of its edges is long.

Write the volume equation for a tetrahedron. In this formula, stands for the tetrahedron's volume and stands for the length of one of its edges. Substitute the given edge length and solve. Rationalize the denominator.

Find the volume of a tetrahedron if the side length is .

Write the equation to find the volume of a tetrahedron. Substitute the side length and solve for the volume. Rationalize the denominator.

What is the volume of a regular tetrahedron with an edge length of 6?

The volume of a tetrahedron can be solved for by using the equation: where is the measurement of the edge of the tetrahedron. This problem can be quickly solved by substituting 6 in for .

Find the volume of a regular tetrahedron if one of its edges is long.

Write the volume equation for a tetrahedron. In this formula, stands for the tetrahedron's volume and stands for the length of one of its edges. Substitute the given edge length and solve. Rationalize the denominator.

Find the volume of a tetrahedron if the side length is .

Write the equation to find the volume of a tetrahedron. Substitute the side length and solve for the volume. Rationalize the denominator.

What is the volume of a regular tetrahedron with an edge length of 6?

The volume of a tetrahedron can be solved for by using the equation: where is the measurement of the edge of the tetrahedron. This problem can be quickly solved by substituting 6 in for .

Find the volume of a regular tetrahedron if one of its edges is long.

Write the volume equation for a tetrahedron. In this formula, stands for the tetrahedron's volume and stands for the length of one of its edges. Substitute the given edge length and solve. Rationalize the denominator.

Find the volume of a tetrahedron if the side length is .

Write the equation to find the volume of a tetrahedron. Substitute the side length and solve for the volume. Rationalize the denominator.

Find the volume of a regular tetrahedron if one of its edges is $\sqrt[3]{6}:cm$ long.

Find the volume of a tetrahedron if the side length is $\frac{1}{6}$ .

Find the volume of a regular tetrahedron if one of its edges is $\sqrt[3]{6}:cm$ long.

Find the volume of a tetrahedron if the side length is $\frac{1}{6}$ .

Find the volume of a regular tetrahedron if one of its edges is $\sqrt[3]{6}:cm$ long.

Find the volume of a tetrahedron if the side length is $\frac{1}{6}$ .

Find the volume of a regular tetrahedron if one of its edges is $\sqrt[3]{6}:cm$ long.

Find the volume of a tetrahedron if the side length is $\frac{1}{6}$ .

Find the volume of a regular tetrahedron if one of its edges is $\sqrt[3]{6}:cm$ long.

Find the volume of a tetrahedron if the side length is $\frac{1}{6}$ .

Find the volume of a regular tetrahedron if one of its edges is $\sqrt[3]{6}:cm$ long.

Find the volume of a tetrahedron if the side length is $\frac{1}{6}$ .

Find the volume of a regular tetrahedron if one of its edges is $\sqrt[3]{6}:cm$ long.

Find the volume of a tetrahedron if the side length is $\frac{1}{6}$ .