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.How many cubes of edge 3 cm fit exactly in a box that is 15 cm × 9 cm × 6 cm?
- 2.A pipe (a cylinder) has a radius of 14 cm and a length of 9 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 3.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)?
- 4.A box is 9 cm long, 10 cm wide and 7 cm high. What is its volume (in cubic cm)?
- 5.A box is 18 cm long, 13 cm wide and 3 cm high. What is its volume (in cubic cm)?
- 6.A box is 3 cm long, 5 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 7.A pipe (a cylinder) has a radius of 7 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 8.How many cubes of edge 3 cm fit exactly in a box that is 9 cm × 9 cm × 12 cm?
- 9.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)?
- 10.How many cubes of edge 3 cm fit exactly in a box that is 12 cm × 6 cm × 9 cm?
- 11.A fish tank is 60 cm long, 90 cm wide and 60 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 12.A closed box is 15 cm long, 12 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 13.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)?
- 14.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
- 15.A box is 11 cm long, 13 cm wide and 9 cm high. What is its volume (in cubic cm)?
- 16.A fish tank is 120 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 17.A box is 13 cm long, 15 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 18.A closed box is 17 cm long, 3 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 19.A pipe (a cylinder) has a radius of 1 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 20.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)?
- 21.A pipe (a cylinder) has a radius of 3 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 22.A closed box is 16 cm long, 10 cm wide and 4 cm high. What is its total surface area (in sq cm)?
- 23.A fish tank is 80 cm long, 20 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 24.A box is 7 cm long, 12 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 25.A box is 4 cm long, 15 cm wide and 8 cm high. What is its volume (in cubic cm)?
- 26.A fish tank is 70 cm long, 20 cm wide and 90 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 27.A closed box is 11 cm long, 5 cm wide and 9 cm high. What is its total surface area (in sq cm)?
- 28.A cylinder has a radius of 7 cm and a height of 7 cm. What is its volume (take π = 22/7; in cubic cm)?
- 29.A cylinder has a radius of 14 cm and a height of 5 cm. What is its volume (take π = 22/7; in cubic cm)?
- 30.A fish tank is 60 cm long, 100 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 31.A closed box is 18 cm long, 7 cm wide and 8 cm high. What is its total surface area (in sq cm)?
- 32.A cylinder has a radius of 21 cm and a height of 16 cm. What is its volume (take π = 22/7; in cubic cm)?
- 33.How many cubes of edge 4 cm fit exactly in a box that is 12 cm × 12 cm × 12 cm?
- 34.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
- 35.A cube has an edge of 14 cm. What is its volume (in cubic cm)?
- 36.A cube has an edge of 7 cm. What is its total surface area (in sq cm)?
- 37.How many cubes of edge 5 cm fit exactly in a box that is 10 cm × 15 cm × 20 cm?
- 38.A cylinder has a radius of 7 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
- 39.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)?
- 40.A cube has an edge of 10 cm. What is its total surface area (in sq cm)?
Answer key
- 30
- 792
- 748
- 630
- 702
- 165
- 308
- 36
- 5544
- 24
- 324
- 576
- 352
- 27
- 1287
- 72
- 1560
- 262
- 44
- 2464
- 132
- 528
- 48
- 336
- 480
- 126
- 398
- 1078
- 3080
- 180
- 652
- 22176
- 27
- 864
- 2744
- 294
- 24
- 3080
- 1584
- 600
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