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6th grade · Math · Unit 8 of 17

Volume & Capacity

Cubes, liters and milliliters

What your child practices

Finding the volume of rectangular prisms, converting between liters and milliliters, and connecting volume to capacity (1 cm³ holds 1 mL).

Arizona Academic Standards learning standard: 6.G.A.2 · volume of right rectangular prisms

How we explain it

Children can open this short lesson before they practice.

  1. Volume is the space inside a solid, in cubic units like cm³.
  2. Volume of a rectangular prism = length × width × height.
  3. 1 cm³ holds 1 mL. 1000 mL is 1 L.

Example: A box is 5 cm long, 4 cm wide and 3 cm high. What is its volume? 5 × 4 = 20. 20 × 3 = 60. Answer: 60 cm³

Volume & Capacity in Arizona

In the Arizona Academic Standards, this is unit 8 of 17 in 6th grade Math, after Perimeter & Area and before Integers & Decimals.

Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.

Source: Arizona Department of Education

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    Which box has the greatest volume?

    • 4 cm × 6 cm × 2 cm
    • 10 cm × 3 cm × 7 cm
    • 9 cm × 5 cm × 2 cm
    • 10 cm × 6 cm × 9 cm

  2. Question 2

    How many milliliters are in 3.25 L?

    answer boxmL

  3. Question 3

    A box has a volume of 120 cm³. It is 5 cm long and 4 cm wide. How high is it?

    answer boxcm

  4. Question 4

    A rectangular prism is 4 cm long, 8 cm wide and 9 cm high. What is its volume?

    answer boxcm³

  5. Question 5

    A jug holds 1.8 L of lemonade. How many 200 mL glasses can it fill?

    🍋1.8 L

    answer box

  6. Question 6

    This is the bottom layer of a box packed with 1 cm cubes. The box is 5 layers high. What is the volume of the box?

    answer boxcm³

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