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Cogito

Grade 6 Math · Chapter 8 · Lesson 2

Practice Worksheet

Packing with Fraction Cubes

Counting the little cubes that fit.

10 problems · about 18 minutes · 6.G.A.2

NameDate

Figure — use these to answer the problems

Build a box and count the cubes that fill it.
  • Cubes in one layer3 × 2 = 6
  • Layers2
  • 3 × 2 × 212 cubic units
Length in cubes3
Width in cubes2
Height in cubes2
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Volume When the Edges Are Fractions”

    A box 8 by 3 by 1/2. Volume?

    Answer

  2. From “Breaking a Shape Apart”

    A 7 by 4 rectangle with a 3 by 2 piece removed. Area left?

    Answer

  3. From “Area of a Trapezoid”

    Parallel sides 5 and 11, height 4. Area?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. 32 half-unit cubes. Volume in cubic units?

    Answer

  2. 4 by 2 by 2 small cubes. How many cubes?

    Answer

  3. 16 half-unit cubes. Volume in cubic units?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. How many third-unit cubes fill one unit cube?

    Answer

  2. A box 2 by 3 by 4 units. Volume?

    Answer

Stretch Yourself

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

2 problems

  1. The Small Cubes

    How many cubes with half-unit edges fill one whole unit cube?

    Answer

  2. The Packed Box

    A box holds 24 half-unit cubes. What is its volume in cubic units?

    Answer