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Mathematics · Grade 5

Volume of Rectangular Prisms

Learners measure volume by packing unit cubes in layers, connect layers to the formulas V = l × w × h and V = B × h, and find the volume of solids made of two rectangular prisms. The course ends with boxes, sandboxes and aquariums, including finding a missing dimension and converting cubic centimeters to liters.

  • 4 lessons
  • About 80 minutes
  • Volume check: 10 questions
  • Ways to answer: choose an answer, match pairs, type a number, put in order, sort into groups and true or false
See plans Included with Family, Teacher and School plans. Open in PlayOwl

What learners will discover

  • Explain volume as the number of unit cubes that fill a solid without gaps or overlaps, and find it by counting cubes in layers.
  • Find the volume of a rectangular prism with V = l × w × h and V = B × h, and explain how the formulas match the layers.
  • Find the volume of a solid made of two non-overlapping rectangular prisms by adding their volumes.
  • Solve real-world volume problems, including finding a missing dimension.

Lessons

  1. Filling space with unit cubes 8 steps4 practiceabout 18 min
  2. From layers to formulas 7 steps4 practiceabout 20 min
  3. Solids made of two boxes 7 steps4 practiceabout 20 min
  4. Volume at work 7 steps4 practiceabout 22 min
  5. Volume check 10 questions at the end

Keep exploring

Games to practice with

  • Number-Line HopHelp the frog hop to the right number — from counting to negative fractions.
  • Array OrchardPlant trees in rows, pack fruit into crates and split big fields to multiply.
  • Fraction BridgesSaw planks into equal parts, paint fractions, build bridges that match and lay planks end to end to add.

More 5th grade math

Guide for grown-ups