Geometry · Quick Reference

Volume Cheat Sheet

Geometry · Lesson 13/16

In one line: volume measures how much three-dimensional space a solid takes up — essentially, how much it could hold if it were hollow.

Key Ideas

1Volume of a Cube. V = side^3.

2Volume of a Rectangular Prism. V = length * width * height.

3Volume of a Cylinder. V = pi * r^2 * h.

4Volume of a Sphere. V = (4/3) * pi * r^3.

5Volume of a Cone. V = (1/3) * pi * r^2 * h — exactly one-third the volume of a cylinder with the same base and height.

Find the volume of a cube with side 5.

125 cubic units

Find the volume of a rectangular prism with length 6, width 4, height 3.

72 cubic units

Find the volume of a cylinder with radius 3, height 10 (use pi ~ 3.14).

282.6 cubic units

Cube: V = s^3

Rectangular prism: V = l*w*h

Cylinder: V = pi*r^2*h

Sphere: V = (4/3)*pi*r^3

Cone: V = (1/3)*pi*r^2*h

Find the volume of a cube with side 4.

Find the volume of a rectangular prism with l=5,w=2,h=3.

Find the volume of a cylinder with r=2, h=5 (pi~3.14).

62.8