➕ 5th Grade Math · Unit 1

Volume

11 short narrated lessons in 2 chapters, each with pictures, a quiz with a hint and a second try, and an explanation for every answer.

Standards: 5.MD.C.3 5.MD.C.4 5.MD.C.5

Picture from the lesson “How Much Space Does It Fill?”
How Much Space Does It Fill?
Picture from the lesson “Meet the Unit Cube”
Meet the Unit Cube
Picture from the lesson “Fill It Up with Cubes”
Fill It Up with Cubes

What your child will learn

Understanding volume

  1. How Much Space Does It Fill?Explain that volume is the amount of space a solid figure takes up.
  2. Meet the Unit CubeDescribe a unit cube as a cube with sides one unit long, which has a volume of one cubic unit.
  3. Fill It Up with CubesFind the volume of a rectangular prism by counting the unit cubes that fill it with no gaps or overlaps.
  4. Stacking LayersFind the volume of a rectangular prism by counting the cubes in one layer and multiplying by the number of layers.
  5. Volume Review: Cubes and Layers ReviewReview what volume is and how to measure it with unit cubes.

Volume formulas

  1. Length Times Width Times HeightFind the volume of a rectangular prism by multiplying its length, width and height.
  2. Base Times HeightFind the volume of a rectangular prism by multiplying the area of its base by its height.
  3. Volume in the Real WorldSolve real-world problems about the volume of boxes, tanks and rooms.
  4. Two Boxes Make One ShapeFind the volume of a solid made of two rectangular prisms by adding the volumes of the parts.
  5. Volume Formulas Review ReviewReview using formulas to find the volume of rectangular prisms and figures made of them.
  6. Unit 1 Test: VolumeShow what you learned in the whole unit (Understanding volume, Volume formulas) by answering mixed questions.

Try a question from this unit

From the lesson “How Much Space Does It Fill?”

What does volume tell you about a solid figure?

  • How heavy it is
  • How much space it takes up
  • What color it is
  • How far around it is
Show the answer

How much space it takes up. Volume is the amount of space a solid figure takes up.

Hint kids see after a wrong try: “Think about how much room a box fills on a shelf.”

Key words

  • volume
  • solid figure
  • unit cube
  • cubic unit
  • rectangular prism
  • gap
  • overlap
  • layer
  • length
  • width
  • height
  • base
  • area of base
  • cubic centimeter
  • cubic foot
  • composite figure
  • additive

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Narrated lessons, pictures and quizzes for every grade from K to 8. Works offline.

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