Grade 7 · Math · Unit 19 of 20
Volume & Surface Area
Capacity, conversions and cylinders
What your child practises
Linking millilitres and cubic centimetres, converting square and cubic units, the surface area of a cylinder from its net, and the volume of prisms.
Ontario Curriculum expectation: E2.1, E2.2, E2.6, E2.7 · volume and capacity, converting area and volume units, surface area of cylinders and volume of prisms
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
A rectangle is 2 m long and 60 cm wide. What is its area in square centimetres?
Length Width 2 m 60 cm answer box
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12000
Hint: Change metres to centimetres first. Then multiply.
Question 2
9 m² = cm²
9 m² = cm²
answer box
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90000
Hint: 1 m² is 100 cm × 100 cm = 10 000 cm².
Question 3
A cylinder has a radius of 5 cm and a height of 6 cm. What is its surface area? Use 3.14 for π and round to the nearest whole number.
answer box
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345
Hint: Add the two circles (2 × π × r²) and the curved part (2 × π × r × h).
Question 4
7 m² = cm²
7 m² = cm²
answer box
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70000
Hint: 1 m² is 100 cm × 100 cm = 10 000 cm².
Question 5
A box is 8 cm long, 2 cm wide and 6 cm high. How many millilitres of water does it hold when full?
answer box
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96
Hint: 1 cm³ holds 1 mL. Find the volume.
Question 6
What is the difference between volume and capacity?
- Volume is the space an object takes up. Capacity is how much a container can hold.
- Volume is about area. Capacity is about length.
- They mean exactly the same thing.
Show answer
Volume is the space an object takes up. Capacity is how much a container can hold.
Hint: Volume describes the space taken up. Capacity describes what a container holds.