Example 1 · level 1
A cuboid tiffin box is 10 cm long, 13 cm wide and 9 cm high. Find its volume (in cm³).
Show solution
- V = 10 × 13 × 9 = 1,170 cm³.
Answer: 1,170
CLASS 8 MATHS · MENSURATION
Surface area and volume of cuboid, cube and cylinder
Cuboid: V = lbh, TSA = 2(lb + bh + hl). Cylinder: V = πr²h, CSA = 2πrh, TSA = 2πr(r + h). Use π = 22/7.
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Worked examples
Example 2 · level 2
A cylindrical pillar has radius 21 cm and height 6 cm. Find its volume (in cm³). Use π = 22/7.
Show solution
- V = πr²h = 22/7 × 21 × 21 × 6
- = 8,316 cm³.
Answer: 8,316
Example 3 · level 3
A cylindrical pillar has radius 7 cm and height 14 cm. Find its total surface area (in cm²). Use π = 22/7.
Show solution
- TSA = 2πr(r + h) = 2 × 22/7 × 7 × (7 + 14)
- = 924 cm².
Answer: 924