Volume of Cubes Prisms and Cylinders
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Volume of Cubes Prisms and Cylinders — Free MYP3 Mathematics Practice Questions

1QuestionIntroduction to Volume of CylindersConcept Practice
2 marks~3 minCriterion A
A cylinder has a radius of 4 cm and a height of 10 cm.
a
Write the formula for the volume of a cylinder. [1]
b
Calculate the volume of the cylinder. Give your answer in terms of π\pi. [1]
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2QuestionIntroduction to Volume of CylindersAssessment Practice
2 marks~3 minCriterion D
A farmer needs to store water for irrigation and is considering two cylindrical tanks. Tank A has a radius of 1.5 m and a height of 4 m. Tank B has a radius of 2 m and a height of 2.25 m. The volume of a cylinder is given by V=πr2hV = \pi r^2 h. Use π=3.14\pi = 3.14.
a
Calculate the volume of Tank A and Tank B. [1]
b
The farmer's shed has a height limit of 2.5 m. Explain which tank is more practical for the farmer, and state one limitation of using volume alone to decide which tank to purchase. [1]
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Solutions

3QuestionVolume of a Rectangular PrismAssessment Practice
3 marks~5 minCriterion B
A rectangular prism has a fixed length of l=5l = 5 cm and a fixed width of w=4w = 4 cm. Its volume VV (cm³) is plotted against its height hh (cm) in the graph below.
a
Apply the formula V=l×w×hV = l \times w \times h to write an equation for VV in terms of hh only. [1]
b
Explain why the graph of VV against hh is a straight line through the origin. [1]
c
The graph shows a point at h=3h = 3 cm. Interpret what the corresponding value of VV tells you about the prism at that height. [1]
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4QuestionSolving Volume Problems with UnitsAssessment Practice
5 marks~8 minCriterion C
A student claims that a cylindrical water tank with a radius of 0.30.3 m and a height of 1.21.2 m holds more water than a rectangular prism tank with a length of 1.51.5 m, a width of 0.40.4 m, and a height of 0.60.6 m, because the cylinder has a large radius.
a
Calculate the volume of each tank. Show all working and include units. [3]
b
Explain which tank holds more water, using your results from part (a). [1]
c
Analyse the flaw in the student's reasoning. [1]

Solutions

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