Grade 9 · Math · Unit 14 of 15
Volume & Units
Pyramids, cones and conversions
What your child practises
A pyramid holds a third of the matching prism and a cone a third of the matching cylinder, plus converting between metric units and between metric and imperial units.
Ontario Curriculum expectation: E1.3, E1.6 · volume of pyramids and cones, and converting units within and between systems
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
How many 500 mL glasses can be filled from a 2 L jug?
answer box
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4
Hint: 2 L = 2000 mL, and 2000 ÷ 500 = 4.
Question 2
A prism and a pyramid have the same base and the same height. The prism's volume is 165 cm³. What is the pyramid's volume, in cm³?
answer boxcm³
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55 cm³
Hint: A pyramid is one third of the prism: 165 ÷ 3 = 55.
Question 3
A cone has a radius of 2 cm and a height of 12 cm. Its volume is how many π cm³? (V = 1/3 × π × r² × h)
answer boxπ cm³
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16 π cm³
Hint: r² × h ÷ 3 = 4 × 12 ÷ 3 = 16.
Question 4
A pyramid has a square base 9 m by 9 m and a height of 9 m. What is its volume, in m³?
answer boxm³
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243 m³
Hint: V = (base area × height) ÷ 3 = (81 × 9) ÷ 3 = 243.
Question 5
How many mL is 25 cm³?
answer boxmL
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25 mL
Hint: 1 cm³ = 1 mL, so 25 × 1 = 25.
Question 6
A cone and a cylinder have the same base and the same height. The cone holds 5 cm³. How much does the cylinder hold, in cm³?
answer boxcm³
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15 cm³
Hint: The cylinder holds 3 times as much as the cone: 3 × 5 = 15.