# Formula Volume of a Pyramid

Pyramid's Volume

### 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.

### Practice Problems: Volume of 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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