Volume and capacity: Class 8 practice
1 litre = 1000 cm³ and 1 m³ = 1000 litres. Read the method, follow the three worked examples, then try the six questions.
What you should know first
- Volume of cuboid and cylinder
The idea behind volume and capacity
1 litre = 1000 cm³ and 1 m³ = 1000 litres. To find how much a tank holds, find its volume and convert.
Step-by-step method
- Find volume in cm³ or m³.
- Convert: 1000 cm³ = 1 L; 1 m³ = 1000 L.
- Answer with the unit asked.
Worked example 1 (Basic)
A tank is 1 m × 2 m × 3 m. How many litres does it hold?
- V = 6 m³
- = 6000 L
- Answer: 6000 L
Worked example 2 (Standard)
A box is 24 cm × 37 cm × 28 cm. Find its capacity in litres.
- V = 24864 cm³
- = 24.864 L
- Answer: 24.864 L
Worked example 3 (Challenge)
A 4 m × 4 m × 3 m tank is filled at 9 litres per minute. How long does it take?
- Capacity 48000 L
- Time = 48000 ÷ 9 = 5333.33 min
- Answer: 5333.33 min
Common mistakes and misconceptions
- Using 100 instead of 1000
- Mixing m and cm
Practice questions
- (Basic) A tank is 1 m × 3 m × 2 m. How many litres does it hold?
- (Basic) A tank is 1 m × 2 m × 1 m. How many litres does it hold?
- (Standard) A box is 30 cm × 15 cm × 29 cm. Find its capacity in litres.
- (Standard) A box is 31 cm × 34 cm × 15 cm. Find its capacity in litres.
- (Challenge) A 4 m × 4 m × 1 m tank is filled at 6 litres per minute. How long does it take?
- (Challenge) A 2 m × 2 m × 3 m tank is filled at 16 litres per minute. How long does it take?
Answer key with full working
- Q1: V = 6 m³ → = 6000 L → Answer: 6000 L
- Q2: V = 2 m³ → = 2000 L → Answer: 2000 L
- Q3: V = 13050 cm³ → = 13.05 L → Answer: 13.05 L
- Q4: V = 15810 cm³ → = 15.81 L → Answer: 15.81 L
- Q5: Capacity 16000 L → Time = 16000 ÷ 6 = 2666.67 min → Answer: 2666.67 min
- Q6: Capacity 12000 L → Time = 12000 ÷ 16 = 750 min → Answer: 750 min
Syllabus note
This skill is listed under "Mensuration" for Class 8 in the NCERT/CBSE books. ICSE, IGCSE, IB and state boards may teach it in a different chapter or year.
Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.
Related practice and notes
Frequently asked questions
Which chapter is volume and capacity in?
"Mensuration", Class 8 Maths (NCERT/CBSE). Other boards may place it differently.
How were the answers checked?
Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.