### Formula for the Volume of a Pyramid

The volume of a pyramid equals $$ \frac{1}{3} $$ the area of its base times its height. This formula applies to both regular and irregular pyramids.

Pyramid's Volume

The volume of a pyramid equals $$ \frac{1}{3} $$ the area of its base times its height. This formula applies to both regular and irregular pyramids.

Use the formula for the volume of a pyramid.

Volume = $$\frac{1}{3} \text{(area of base)} \cdot \text{height} $$

Area of base = $$15 \cdot 14= 210 $$

Volume = $$\frac{1}{3}(210)(12) = 840$$

Use the pyramid volume formula.

Volume = $$ \frac{1}{3} \text{(area of base)} \cdot \text{height} $$

Volume = $$ \frac{1}{3} \text{(area of base)} \cdot \text{(height) } $$

Area of base = $$4 \cdot 12 $$

Volume = $$ \frac{1}{3}$$ (48)(8) = 128

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