Volume and Surface Area Worksheet
The method (Fill or wrap): Cuboid: volume = l × b × h; total surface area = 2 × (lb + bh + hl). Cube: volume = a × a × a; surface area = 6 × a × a. Cylinder (π = 22/7): volume = π × r × r × h; curved surface area = 2 × π × r × h. 1 litre = 1000 cubic cm; small cubes in a box = (L ÷ a) × (B ÷ a) × (H ÷ a).
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- 1.A closed box is 18 cm long, 4 cm wide and 11 cm high. What is its total surface area (in sq cm)?
- 2.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 24 cm × 16 cm?
- 3.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)?
- 4.A cube has an edge of 5 cm. What is its volume (in cubic cm)?
- 5.A closed box is 5 cm long, 4 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 6.A box is 17 cm long, 13 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 7.A fish tank is 50 cm long, 70 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 8.A fish tank is 70 cm long, 50 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 9.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 10.A box is 6 cm long, 14 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 11.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
- 12.A box is 15 cm long, 9 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 13.A pipe (a cylinder) has a radius of 7 cm and a length of 17 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 14.A closed box is 7 cm long, 6 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 15.A pipe (a cylinder) has a radius of 12 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 16.A closed box is 4 cm long, 6 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 17.A closed box is 14 cm long, 13 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 18.A fish tank is 50 cm long, 40 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 19.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 9 cm × 12 cm?
- 20.A closed box is 17 cm long, 2 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 21.A closed box is 9 cm long, 14 cm wide and 12 cm high. What is its total surface area (in sq cm)?
- 22.A closed box is 9 cm long, 6 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 23.A pipe (a cylinder) has a radius of 8 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 24.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 4 cm × 12 cm?
- 25.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 6 cm × 4 cm?
- 26.A closed box is 19 cm long, 7 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 27.A box is 16 cm long, 12 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 28.A box is 6 cm long, 3 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 29.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
- 30.A closed box is 13 cm long, 5 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 31.A closed box is 17 cm long, 9 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 32.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 8 cm × 8 cm?
- 33.A box is 4 cm long, 11 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 34.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 10 cm × 10 cm?
- 35.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 25 cm × 15 cm?
- 36.A pipe (a cylinder) has a radius of 5 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 37.A cylinder has a radius of 21 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
- 38.A box is 10 cm long, 8 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 39.A closed box is 16 cm long, 5 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 40.A fish tank is 40 cm long, 50 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
Answer key
- 628
- 120
- 1540
- 125
- 184
- 1547
- 175
- 315
- 729
- 252
- 24
- 405
- 748
- 214
- 1056
- 108
- 580
- 140
- 24
- 372
- 804
- 228
- 352
- 48
- 18
- 474
- 576
- 72
- 3375
- 346
- 722
- 32
- 176
- 16
- 60
- 440
- 5544
- 640
- 538
- 60
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