Concept 9 of 10Foundation
Watch on YouTubeVideoSurface area & volume (intro)
Real-life objects are 3D. Two measurements matter:
- Surface area: total area of all faces. Measured in square units.
- Volume: space inside. Measured in CUBIC units (cm³, m³).
For a cube of side s:
- Surface area = 6 × s² (six equal faces)
- Volume = s × s × s = s³
For a cuboid (like a book/brick) with length ℓ, breadth b, height h:
- Surface area = 2(ℓb + bh + hℓ) (three pairs of opposite faces)
- Volume = ℓ × b × h
Example
A box 10 × 5 × 4 cm:
Volume = 200 cm³.
Surface area = 2(50 + 20 + 40) = 220 cm².
Water in a 10×10×10 cm cube = 1000 cm³ = 1 litre exactly!
Volume = 200 cm³.
Surface area = 2(50 + 20 + 40) = 220 cm².
Water in a 10×10×10 cm cube = 1000 cm³ = 1 litre exactly!
💡 Tip:Surface area = wrapping paper needed. Volume = how much fits inside.
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5 questions to check what you just read.
0 / 5
- Q1.Volume of cube side 5:
- Q2.Surface area of cube side 4:
- Q3.Volume of cuboid 6×5×2:
- Q4.1 litre equals:
- Q5.Tank 10×5×2 m holds ___ litres: