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Crazy boy [7]
1 year ago
13

What is the volume of this triangular Pyramid photo attached

Mathematics
1 answer:
storchak [24]1 year ago
3 0

To find the volume of a triangular pyramid, the formula is:

V=\frac{1}{3}(Area\text{ }of\text{ }thebase)(height)

So we start by finding the area of the base, which is in the shape of a right triangle in this case.

The area of a right triangle is equal to 1/2 x base x height.

\begin{gathered} A=\frac{1}{2}bh \\  \\ A=\frac{1}{2}(5)(6) \\  \\ A=15\text{ square feet} \end{gathered}

We use this area to find the volume.

\begin{gathered} V=\frac{1}{3}Ah \\  \\ V=\frac{1}{3}(15)(6) \\  \\ V=30\text{ cubic feet} \end{gathered}

The volume of the triangular pyramid is 30 cubic feet.

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