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Cogito

Grade 5 Math · Chapter 8 · Lesson 2

Practice Worksheet

The Volume Formula

A shortcut for the count you can already do.

10 problems · about 15 minutes · 5.MD.C.5

NameDate

Figure — use these to answer the problems

The tinted layer is the base. The height says how many of it are stacked.
  • Cubes in one layer4 × 3 = 12
  • Layers3
  • 4 × 3 × 336 cubic units
Length4
Width3
Height3
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

1 problem

  1. From “Measuring Volume by Counting Cubes”

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

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. Volume of a 7 by 3 by 2 box?

    Answer

  2. What does base area × height give?

    • The volume.
    • The area.

  3. Volume of a 6 by 3 by 2 box?

    Answer

  4. Volume of a 5 by 5 by 4 box?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Volume 48, base 4 by 2. What is the height?

    Answer

  2. A base area of 15 and a height of 4. What is the volume?

    Answer

Stretch Yourself

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

3 problems

  1. The Crate

    A crate 5 by 4 by 3. What is its volume?

    Answercubic units

  2. The Missing Height

    Volume 72, base 4 by 3. What is the height?

    Answer

  3. The Two Boxes

    Two boxes side by side, one 24 cubic units and one 18. What is the total volume?

    Answercubic units