# 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

##### Problem 1

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

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

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

##### Problem 2

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