Mathematics · Class 5
How Big? How Heavy?
Learn How Big? How Heavy? with notes, examples, and practice questions.
3 sections15–25 min read3 MCQs · 1 examples
Chapter Overview
Volume measures occupied space in cubic units; mass measures amount of matter in grams or kilograms.
How Big? How Heavy? connects three-dimensional size with volume and mass. Learners count unit cubes, compare container volume, reason about packing, and distinguish how much space an object occupies from how heavy it is.
Volume with Cubes
- A unit cube measures one cubic unit of volume.
- Cuboid volume = length × breadth × height in unit cubes.
- Equal layers can be counted as cubes per layer × number of layers.
- Cubic centimetres and cubic metres are volume units.
Volume, Capacity, and Mass
- Capacity is the amount a container can hold.
- Objects of equal volume can have different masses because materials differ.
- Packing without gaps uses space more efficiently.
- Estimate dimensions before calculating to detect unreasonable answers.
Solved Examples
Step-by-step solutions — read each step before checking the final answer.
Count Cubes in a Box
A cuboid is 5 cubes long, 3 cubes wide, and 4 cubes high. What is its volume?
- 1One layer has 5 × 3 = 15 cubes.
- 2There are 4 equal layers.
- 3Multiply 15 × 4 = 60.
Answer
60 cubic units
Key Points to Remember
- ✓ Volume measures three-dimensional space
- ✓ Use cubic units for volume
- ✓ Cuboid volume is length × breadth × height
- ✓ Volume and mass are different measurements
Exam Tips
- • Count hidden cubes in complete layers
- • Use cubic, not square, units
- • Do not assume a larger object is always heavier
Practice MCQs — How Big? How Heavy?
Test your understanding with topic-wise multiple choice questions. Explanations appear after each answer.
Question 1 of 3Score: 0/0
What is the volume of a 4 × 3 × 2 unit cuboid?