# Basic Geometry

# Volume of Pyramids & Cones

The formula for the **volume of pyramids and cones** tells you *how much space is inside each object.*

For these two solid shapes, the volume formula is the same: it's one third of the area of the base times the height.

**Volume of Pyramids or Cones = ⅓ Base **×** height**

Why? Here it is in a nutshell. The volume of three pyramids is equal to the volume of one prism with the same base and height. Similarly, the volume of three cones is equal to the volume of one cylinder with the same circular base and height.

The volume of each cone is equal to ⅓*Bh *= ⅓(28.3 × 10) = 94 ⅓ cm^{3}. All three cones combined equals 283 cm^{3}. The volume of the cylinder is equal to *Bh *= 28.3 × 10 = 283 cm^{3}, ta da!

The volume of each pyramid is equal to ⅓*Bh *= ⅓(18 × 8) = 48 cm^{3}. All three pyramids combined equals 144 cm^{3}. The volume of the prism is equal to *Bh *= 18 × 8 = 144 cm^{3}.