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5th grade · Math · Unit 15 of 15

Volume of Boxes

Cubes, layers and l × w × h

What your child practices

Finding volume by counting unit cubes and layers, using V = l × w × h, finding a missing side, and adding the volumes of two boxes.

Alabama Course of Study content standard: 5.18; 5.19 · measuring volume with unit cubes and relating it to multiplication and addition

How we explain it

Children can open this short lesson before they practice.

  1. Volume counts the unit cubes that fill a solid.
  2. For a box, V = length × width × height.
  3. For two boxes stuck together, add their volumes.

Example: A box is 4 in long, 3 in wide and 2 in high. What is its volume? 4 × 3 = 12 cubes in one layer. 2 layers: 12 × 2 = 24. Answer: 24 cubic inches

Volume of Boxes in Alabama

In the Alabama Course of Study, this is unit 15 of 15 in 5th grade Math, after Unlike Denominators.

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: Alabama State Department of Education (ALSDE)

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

    A box is 3 cubes long, 4 cubes wide and 2 cubes high. How many unit cubes fill it?

    • 12
    • 9
    • 36
    • 24

  2. Question 2

    A box is 3 cm long, 7 cm wide and 8 cm high. What is its volume?

    • 202 cubic centimeters
    • 168 cubic centimeters
    • 167 cubic centimeters
    • 18 cubic centimeters
    • 21 cubic centimeters

  3. Question 3

    A shape is made of two boxes: 5 × 5 × 3 and 4 × 4 × 3 (in cm). What is its total volume?

    • 125 cm³
    • 27 cm³
    • 3600 cm³
    • 133 cm³
    • 123 cm³

  4. Question 4

    Each layer of a box holds 19 unit cubes. There are 4 layers. How many cubes fill the box?

    • 75
    • 74
    • 23
    • 76
    • 95

  5. Question 5

    Which unit tells how much space is inside a fish tank?

    • cubic inches
    • square inches
    • pounds
    • inches

  6. Question 6

    A box has a volume of 336 cubic feet. It is 8 ft long and 6 ft wide. How high is it?

    • 14 ft
    • 322 ft
    • 7 ft
    • 48 ft
    • 9 ft

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