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Cogito

Grade 5 Math · Chapter 8 · Lesson 1

Practice Worksheet

Measuring Volume by Counting Cubes

How many unit cubes fit inside?

10 problems · about 15 minutes · 5.MD.C.3, 5.MD.C.4

NameDate

Figure — use these to answer the problems

Change the sides and count the cubes in the layers.
  • Cubes in one layer4 × 3 = 12
  • Layers2
  • 4 × 3 × 224 cubic units
Length4
Width3
Height2
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Dividing a Unit Fraction by a Whole Number”

    1/3 ÷ 4. What is the bottom number?

    Answer

  2. From “Dividing a Whole Number by a Unit Fraction”

    6 ÷ 1/3 = ?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. A box 4 by 4 by 2. How many cubes?

    Answer

  2. Why is volume measured in cubic units?

    • Because what is counted is cubes.
    • Because that is the rule.

  3. A box 2 by 2 by 2. How many cubes?

    Answer

  4. A box 3 by 3 by 3. How many cubes?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. A box 6 by 2 by 3. How many cubes?

    Answer

  2. What is the volume of one unit cube?

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. The Small Box

    A box 3 by 2 by 4 cubes. How many cubes in all?

    Answercubes

  2. The Layer

    A box 5 by 4 cubes at the base. How many cubes in one layer?

    Answercubes