Volume of prism

Calculate and apply the volume formula for prisms, including cylinders, using base area and depth measurements.

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Te reo Māori terms

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Learning objective overview

Master Teaching Guide coverage for this objective.

Resources

  • Alpha textbook: Volume of prisms in Ex 24.04, pg 382
  • Alpha textbook: Volume of prisms (harder) in PSC 24A
  • Alpha textbook: Application of volume in Ex 24.05, pgs 383 – 385
  • CorbettMaths worksheetQuestions PDF · Answers
  • Beta: Skills in Ex 17.01, 17.03, pg 317, 320
  • Beta: Exercise 17.03, pgs 320 & 321
  • Beta: Exercise 17.04, pgs 321 & 322
  • Beta: Exercise 17.05, pg 323

Terminology

  • volume
  • prism
  • cylinder
  • base area
  • cross-section
  • depth
  • length
  • height
  • three-dimensional
  • cubic units
  • triangular prism
  • rectangular prism

Task goals

  • Apply the volume formula (volume = base area × depth) to calculate volumes of prisms with different cross-sectional shapes.
  • Find missing dimensions when volume and other measurements are known using inverse operations.
  • Solve real-world problems involving prism volumes and compare volumes of different prisms.
  • Understand that the volume formula applies to all prisms with uniform cross-sections, including cylinders.

Key skills

  • Volume
  • Prisms
  • Cross section
  • Cubes
  • Cuboids
  • Cylinders

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included