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, 15 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 2.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 6 cm × 15 cm?
- 3.A closed box is 4 cm long, 4 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 4.A closed box is 17 cm long, 15 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 5.A pipe (a cylinder) has a radius of 7 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 6.A pipe (a cylinder) has a radius of 14 cm and a length of 4 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 7.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 10 cm × 25 cm?
- 8.A fish tank is 70 cm long, 70 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 9.A box is 15 cm long, 14 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 10.A pipe (a cylinder) has a radius of 14 cm and a length of 18 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 11.A cylinder has a radius of 14 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
- 12.A box is 9 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 13.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 15 cm × 18 cm?
- 14.A pipe (a cylinder) has a radius of 7 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 15.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
- 16.A fish tank is 120 cm long, 40 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 17.A pipe (a cylinder) has a radius of 14 cm and a length of 6 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 18.How many cubes of edge 4 cm fit exactly in a box that is 20 cm × 8 cm × 8 cm?
- 19.A closed box is 10 cm long, 15 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 20.A cylinder has a radius of 14 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
- 21.A box is 3 cm long, 2 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 22.A closed box is 19 cm long, 7 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 23.How many cubes of edge 2 cm fit exactly in a box that is 6 cm × 10 cm × 12 cm?
- 24.A fish tank is 60 cm long, 50 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 25.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
- 26.A closed box is 19 cm long, 5 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 27.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 30 cm × 30 cm?
- 28.A closed box is 5 cm long, 12 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 29.A fish tank is 120 cm long, 70 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 30.A fish tank is 110 cm long, 30 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 31.A cylinder has a radius of 7 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
- 32.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 16 cm × 12 cm?
- 33.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 34.A fish tank is 50 cm long, 40 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 35.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 15 cm × 15 cm?
- 36.A closed box is 16 cm long, 7 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 37.A closed box is 16 cm long, 5 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 38.A box is 10 cm long, 6 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 39.A box is 9 cm long, 10 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 40.A pipe (a cylinder) has a radius of 14 cm and a length of 15 cm. What is its curved surface area (take π = 22/7; in sq cm)?
Answer key
- 1068
- 30
- 80
- 638
- 264
- 352
- 40
- 147
- 2520
- 1584
- 2464
- 90
- 180
- 220
- 24
- 336
- 528
- 20
- 700
- 1848
- 48
- 370
- 90
- 300
- 2197
- 286
- 72
- 222
- 588
- 198
- 2156
- 36
- 729
- 40
- 45
- 454
- 496
- 360
- 450
- 1320
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