Geometry Intermediate

Volume Calculator — 3D Solids

Find the volume of six common 3D solids: box, cylinder, cone, sphere, square pyramid, and triangular prism. Full formula and step-by-step substitution shown.

6 solid types

Step-by-step work

Solid diagram

Input

Solid type

Length l

Width w

Height h

Try:

Radius r

Height h

Try:

Radius r

Height h

Try:

Radius r

Try:

Base side s

Height h

Try:

Triangle base b

Triangle height h

Prism length L

Try:

Result

Select a solid and enter dimensions.

Step-by-Step Solution

Solid Diagram

Volume Formulas

Box: V = l·w·h Cylinder: V = πr²h Cone: V = ⅓πr²h Sphere: V = (4/3)πr³ Square pyramid: V = ⅓s²h Triangular prism: V = ½b·h·L

The ⅓ Pattern

Cone = ⅓ of cylinder with same base and height.

Pyramid = ⅓ of prism with same base and height.

This is not a coincidence — it's a general principle of "pointed" solids.

Need help with 3D geometry?

A tutor can walk through volume and surface area for all solid types — and make sure the formulas stick.

Book a Free Consultation →