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.
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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