01 Key Concepts
Volume of a Cube
V = side^3.
Volume of a Rectangular Prism
V = length * width * height.
Volume of a Cylinder
V = pi * r^2 * h.
Volume of a Sphere
V = (4/3) * pi * r^3.
Volume of a Cone
V = (1/3) * pi * r^2 * h — exactly one-third the volume of a cylinder with the same base and height.
02 Key Formulas
- 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
03 Solved Examples
Example 1 Find the volume of a cube with side 5.
- Apply the formula: V = s^3 = 5^3.
Answer: 125 cubic units
Example 2 Find the volume of a rectangular prism with length 6, width 4, height 3.
- Apply the formula: V = l*w*h = 6*4*3.
Answer: 72 cubic units
Example 3 Find the volume of a cylinder with radius 3, height 10 (use pi ~ 3.14).
- Apply the formula: V = pi*r^2*h = 3.14*3^2*10 = 3.14*9*10.
- = 3.14*90.
Answer: 282.6 cubic units
04 Practice Questions
1Find the volume of a cube with side 4.
64
2Find the volume of a rectangular prism with l=5,w=2,h=3.
30
3Find the volume of a cylinder with r=2, h=5 (pi~3.14).
62.8
4Find the volume of a cube with side 10.
1000
5What fraction of a cylinder's volume does a cone with the same base/height have?
1/3
📄 Volume — Downloadable Worksheet
10 questions with a full answer key. Grab the PDF to print, or try the interactive version in your browser.