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Volume of Figures
Formulas for volume of figures, including cone, sphere, and others.
| Space Figure | Volume |
|---|---|
| General formula for prisms and cylinders | V=Bh |
| Rectangular prism | V=lwh (note: all sides must be at right angles) |
| Triangular prism (t=height for this only) | V=(1/2*bh)t |
| Other prism (p=perimeter of base, a=apothem) | V=1/2*aph |
| Cylinder | V=πr²h |
| Oblique prism/cylinder | same as right prism/cylinder (but "base" must be perpendicular to the line used for "height") |
| Cone | V=1/3*πr²h |
| General formula for pyramids | V=1/3*Bh |
| Polygonal pyramids (when apothem is given) | V=1/6*aph |
| Sphere | V=4/3*πr³ |
| Square pyramid | V=1/3*lwh |
| Triangular pyramid (t=height) | V=1/3*bht |
| Hourglass shape | V=1/3*πr² |