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).
NameDateTime takenScore ___ / 40
- 1.A cylinder has a radius of 7 cm and a height of 6 cm. What is its volume (take π = 22/7; in cubic cm)?
- 2.How many cubes of edge 3 cm fit exactly in a box that is 18 cm × 18 cm × 9 cm?
- 3.A closed box is 19 cm long, 2 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 4.A closed box is 11 cm long, 14 cm wide and 2 cm high. What is its total surface area (in sq cm)?
- 5.A cube has an edge of 6 cm. What is its volume (in cubic cm)?
- 6.A cube has an edge of 4 cm. What is its volume (in cubic cm)?
- 7.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
- 8.A box is 3 cm long, 3 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 9.A cube has an edge of 13 cm. What is its volume (in cubic cm)?
- 10.A box is 7 cm long, 9 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 11.A fish tank is 90 cm long, 20 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 12.A fish tank is 30 cm long, 100 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 13.A closed box is 15 cm long, 12 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 14.A fish tank is 40 cm long, 60 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 15.A box is 9 cm long, 4 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 16.A box is 20 cm long, 14 cm wide and 6 cm high. What is its volume (in cubic cm)?
- 17.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
- 18.A fish tank is 80 cm long, 90 cm wide and 20 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 19.A fish tank is 50 cm long, 20 cm wide and 50 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 20.A box is 7 cm long, 14 cm wide and 12 cm high. What is its volume (in cubic cm)?
- 21.A box is 12 cm long, 13 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 22.A cube has an edge of 2 cm. What is its total surface area (in sq cm)?
- 23.How many cubes of edge 4 cm fit exactly in a box that is 16 cm × 12 cm × 20 cm?
- 24.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
- 25.A fish tank is 40 cm long, 20 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 26.A box is 15 cm long, 13 cm wide and 2 cm high. What is its volume (in cubic cm)?
- 27.A closed box is 18 cm long, 12 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 28.A fish tank is 40 cm long, 90 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 29.How many cubes of edge 2 cm fit exactly in a box that is 4 cm × 10 cm × 4 cm?
- 30.A cube has an edge of 14 cm. What is its total surface area (in sq cm)?
- 31.A cylinder has a radius of 14 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
- 32.A pipe (a cylinder) has a radius of 7 cm and a length of 10 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 33.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 20 cm × 10 cm?
- 34.A closed box is 18 cm long, 7 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 35.A cylinder has a radius of 14 cm and a height of 19 cm. What is its volume (take π = 22/7; in cubic cm)?
- 36.A closed box is 4 cm long, 3 cm wide and 6 cm high. What is its total surface area (in sq cm)?
- 37.A fish tank is 70 cm long, 20 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 38.A box is 3 cm long, 6 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 39.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 18 cm × 18 cm?
- 40.A cylinder has a radius of 7 cm and a height of 2 cm. What is its volume (take π = 22/7; in cubic cm)?
Answer key
- 924
- 108
- 496
- 408
- 216
- 64
- 1350
- 18
- 2197
- 567
- 36
- 120
- 900
- 48
- 180
- 1680
- 2744
- 144
- 50
- 1176
- 1248
- 24
- 60
- 343
- 72
- 390
- 732
- 252
- 20
- 1176
- 9856
- 440
- 32
- 402
- 11704
- 108
- 98
- 90
- 144
- 308
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