Skip to main content
MathidiaMathematics Academy
Shape, perimeter, area and volume
Lesson 65 of 75
Review

Volume of cuboids

Objective. Calculate cuboid volume and use cubic units.

  1. 1. Learn
  2. 2. Worked example
  3. 3. Practice
  4. 4. Feedback
  5. 5. Continue

Learn: the key idea

The volume of a cuboid measures how much space it occupies, found by multiplying its length, width and height together, V=l×w×h, giving an answer in cubic units such as cm³. For example, a cuboid measuring 5 cm by 4 cm by 3 cm has a volume of 5×4×3=60 cm³. A cube is a special cuboid where all three dimensions are equal, so its volume is simply the side length cubed. Always check that all three measurements are in the same unit before multiplying.

Worked example

Find the volume of a cuboid with length 8 cm, width 5 cm and height 3 cm.

Diagram of a cube
  1. 1Recall the formula for the volume of a cuboid: V=l×w×h.
  2. 2Substitute the values: V=8×5×3.
  3. 3Multiply the length and width first: 8×5=40.
  4. 4Multiply by the height: 40×3=120.

Answer: 120 cm³

Concept mastery

Based on your past attempts at this lesson — the question types to practise again come first.

Complete a practice set to see your concept breakdown here.

Practice

Practice happens on its own screen, one question at a time. Answers stay hidden until you submit yours, and you can stop and pick up at the same question later.

Start practising

Common mistake. Pupils sometimes multiply only two of the three dimensions, confusing volume with area, and forget to include the height. Always check three dimensions are multiplied together for a volume calculation.

Your progress

Tick each step as you finish it. Your exact reading position is saved automatically, so Continue drops you back on the same line.

0 of 5 steps complete

Your place saves automatically as you read.

My dashboard