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Cogito

Grade 6 Math · Chapter 8 · Lesson 1

Practice Worksheet

Volume When the Edges Are Fractions

The formula does not change.

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

NameDate

Figure — use these to answer the problems

Count the cubes, then check against length × width × height.
  • Cubes in one layer3 × 2 = 6
  • Layers2
  • 3 × 2 × 212 cubic units
Length3
Width2
Height2
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Breaking a Shape Apart”

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

    Answer

  2. From “Area of a Trapezoid”

    Parallel sides 5 and 11, height 4. Area?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

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

    Answer

  2. Does the volume formula change for fractional edges?

    • No. It is still length × width × height.
    • Yes.

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

    Answer

  4. A box 6 by 2 by 1/2. Volume?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. How many cubes of side 1/3 fit inside one unit cube?

    Answer

  2. A box 5 by 4 by 2. Volume?

    Answer

Stretch Yourself

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

2 problems

  1. The Small Cube

    How many cubes of side 1/2 fit inside one unit cube?

    Answer

  2. The Box

    A box 4 by 3 by 1/2. What is its volume?

    Answercubic units