Volume and surface area — Quantitative aptitude for kids

The method

Fill or wrap — “volume is the space inside a solid; surface area is the paper that wraps it”

1. Cuboid: volume = l × b × h; total surface area = 2 × (lb + bh + hl).
2. Cube: volume = a × a × a; surface area = 6 × a × a.
3. Cylinder (π = 22/7): volume = π × r × r × h; curved surface area = 2 × π × r × h.
4. 1 litre = 1000 cubic cm; small cubes in a box = (L ÷ a) × (B ÷ a) × (H ÷ a).

Use it for: Tanks, boxes, cans and packing, and mensuration in Class 8–10 and aptitude tests.

Worked example: A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)? → 1540

✏️ Practice

Work it out in your head or on paper, then tap your answer — or type it and press Check. Stuck? Press “Show me how”.

🏁 Lesson 26 test

20 questions. Check each answer, then go to the next one. Get 16 or more right to pass.

🏅 Sign in with Google to earn the 📦 Volume Voyager badge when you pass — and a certificate when you finish all 10 lessons of Part 3 · Aptitude challenge. You can still take the test without signing in.

🖨️ Volume and Surface Area Worksheet

• Worksheet set 1 (PDF)
• Worksheet set 2 (PDF)
• Worksheet set 3 (PDF)