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.
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.
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