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 9 cm × 9 cm × 15 cm?
- 2.A cube has an edge of 15 cm. What is its total surface area (in sq cm)?
- 3.A cube has an edge of 9 cm. What is its volume (in cubic cm)?
- 4.A pipe (a cylinder) has a radius of 14 cm and a length of 5 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 5.How many cubes of edge 3 cm fit exactly in a box that is 6 cm × 15 cm × 15 cm?
- 6.A pipe (a cylinder) has a radius of 6 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 7.A fish tank is 70 cm long, 50 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 8.A cube has an edge of 15 cm. What is its volume (in cubic cm)?
- 9.A cylinder has a radius of 21 cm and a height of 11 cm. What is its volume (take π = 22/7; in cubic cm)?
- 10.How many cubes of edge 5 cm fit exactly in a box that is 20 cm × 15 cm × 10 cm?
- 11.A pipe (a cylinder) has a radius of 2 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 12.A cube has an edge of 3 cm. What is its volume (in cubic cm)?
- 13.A box is 3 cm long, 6 cm wide and 4 cm high. What is its volume (in cubic cm)?
- 14.A cube has an edge of 12 cm. What is its total surface area (in sq cm)?
- 15.A cube has an edge of 2 cm. What is its volume (in cubic cm)?
- 16.A cylinder has a radius of 14 cm and a height of 13 cm. What is its volume (take π = 22/7; in cubic cm)?
- 17.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)?
- 18.A pipe (a cylinder) has a radius of 4 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 19.How many cubes of edge 5 cm fit exactly in a box that is 25 cm × 20 cm × 25 cm?
- 20.A pipe (a cylinder) has a radius of 14 cm and a length of 8 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 21.A fish tank is 80 cm long, 80 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 22.A closed box is 17 cm long, 8 cm wide and 5 cm high. What is its total surface area (in sq cm)?
- 23.A cylinder has a radius of 21 cm and a height of 14 cm. What is its volume (take π = 22/7; in cubic cm)?
- 24.A closed box is 7 cm long, 7 cm wide and 10 cm high. What is its total surface area (in sq cm)?
- 25.A cube has an edge of 6 cm. What is its total surface area (in sq cm)?
- 26.A box is 18 cm long, 10 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 27.A cylinder has a radius of 21 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
- 28.A closed box is 14 cm long, 3 cm wide and 3 cm high. What is its total surface area (in sq cm)?
- 29.A fish tank is 120 cm long, 80 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 30.A pipe (a cylinder) has a radius of 9 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 31.A cube has an edge of 7 cm. What is its volume (in cubic cm)?
- 32.A fish tank is 60 cm long, 70 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 33.A cylinder has a radius of 7 cm and a height of 4 cm. What is its volume (take π = 22/7; in cubic cm)?
- 34.A box is 10 cm long, 4 cm wide and 11 cm high. What is its volume (in cubic cm)?
- 35.How many cubes of edge 5 cm fit exactly in a box that is 30 cm × 20 cm × 15 cm?
- 36.A pipe (a cylinder) has a radius of 7 cm and a length of 12 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 37.A box is 16 cm long, 2 cm wide and 5 cm high. What is its volume (in cubic cm)?
- 38.A pipe (a cylinder) has a radius of 1 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?
- 39.A fish tank is 40 cm long, 70 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
- 40.A box is 16 cm long, 6 cm wide and 12 cm high. What is its volume (in cubic cm)?
Answer key
- 45
- 1350
- 729
- 440
- 50
- 528
- 350
- 3375
- 15246
- 24
- 88
- 27
- 72
- 864
- 8
- 8008
- 220
- 176
- 100
- 704
- 640
- 522
- 19404
- 378
- 216
- 1980
- 27720
- 186
- 288
- 396
- 343
- 168
- 616
- 440
- 72
- 528
- 160
- 88
- 224
- 1152
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