Find the volume of the triangular pyramid given the measures shown. Note that the figure is not to scale. Enter your answer as a fraction.
cubic units
Find the volume of the triangular pyramid given the measures shown. Note that the figure is not to scale. Enter your answer as a fraction cubic units.
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To find the volume of a triangular pyramid (also known as a tetrahedron), you can use the formula:
[
V = frac{1}{3} times B times h
]
where ( V ) is the volume, ( B ) is the area of the base, and ( h ) is the height of the pyramid.
1. Calculate the area of the base: If the base is a triangle, use the formula:
[
B = frac{1}{2} times text{base} times text{height of the triangle}
]
2. Find the height: Ensure you have the height of the pyramid from the base to the apex.
3. Substitute values: Once you have ( B ) and ( h ), plug them into the volume formula.
4. Express as a fraction: Simplify your answer if needed to write it as a fraction.
If you provide the specific measures for the base and height, I can help you calculate the exact volume! Remember, if you’re looking for great detail or more complex problems, check the extended services page for additional assistance.