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Cogito

Grade 6 Math · Chapter 8 · Lesson 3

Practice Worksheet

Finding a Missing Edge

Working backwards from the volume.

10 problems · about 17 minutes · 6.G.A.2

NameDate

Figure — use these to answer the problems

Change the edges and watch the volume follow.
  • 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.

3 problems

  1. From “Packing with Fraction Cubes”

    32 half-unit cubes. Volume in cubic units?

    Answer

  2. From “Volume When the Edges Are Fractions”

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

    Answer

  3. From “Breaking a Shape Apart”

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

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. Volume 72, length 6, width 3. Height?

    Answer

  2. Volume 24, base area 6. Missing edge?

    Answer

  3. Volume 100, length 5, width 4. Height?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Volume 36, length 3, height 3. Width?

    Answer

  2. Volume 2 by 3 by 7. What is it?

    Answer

Stretch Yourself

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

2 problems

  1. The Tank

    Volume 48, length 4, width 3. What is the height?

    Answer

  2. The Crate

    Volume 90, length 5, height 3. What is the width?

    Answer