G.GF.3

Explain why the formulas for the volume and surface area of a cylinder, pyramid, and cone work.

Example Problems
To find the volume of the triangular pyramid, use the formula:


First, determine the area of the base (
). The base is a right triangle with legs of and :


Next, identify the height of the pyramid (
). According to the diagram, the height is .

Now, substitute the values for
and into the volume formula:




The volume of the figure is
8 cubic miles.
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