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If there is a regular tetrahedron with each edge being 4 centimeters long, find its volume.

Question

If there is a regular tetrahedron with each edge being 4 centimeters long, find its volume.

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Solution

Sure, to find the volume of a regular tetrahedron, we can use the formula:

V = (s^3) / (6*sqrt(2))

where s is the length of an edge.

Step 1: Substitute the given edge length into the formula. In this case, s = 4 cm.

V = (4^3) / (6*sqrt(2))

Step 2: Simplify the expression.

V = 64 / (6*sqrt(2))

Step 3: Simplify further to get the final answer.

V = 10.6 cm^3

So, the volume of the regular tetrahedron with each edge being 4 centimeters long is approximately 10.6 cubic centimeters.

This problem has been solved

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