Volume of Rectangular Prisms
Volume measures the amount of space inside a 3D shape. For a rectangular prism (box), volume is calculated by multiplying length, width, and height.
What You Need to Know
Key Concept Diagram
Volume of a rectangular prism = length x width x height (V = l x w x h)
Volume is measured in cubic units: mm³, cm³, m³
1 cm³ = 1 millilitre (mL) — useful for liquid volume
To find height when volume is known: h = V / (l x w)
Key Vocabulary
Volume
The amount of three-dimensional space occupied by an object
Rectangular prism
A 3D shape with six rectangular faces, also called a cuboid
Cubic centimetre (cm³)
A unit of volume equal to a cube with sides of 1 cm
Capacity
The amount a container can hold, measured in millilitres or litres
Knowledge Check
Select the correct answer for each question. Click "Check Answer" to see if you are right.
Question 1
A box has length 5 cm, width 3 cm, and height 4 cm. What is its volume?
Question 2
A fish tank has volume 600 cm³. How many millilitres of water can it hold?
Question 3
A rectangular prism has volume 120 cm³, length 6 cm, and width 4 cm. What is its height?
Key Concepts Summary
- ●Volume of a rectangular prism = length x width x height (V = l x w x h)
- ●Volume is measured in cubic units: mm³, cm³, m³
- ●1 cm³ = 1 millilitre (mL) — useful for liquid volume
- ●To find height when volume is known: h = V / (l x w)