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Cogito

Grade 8 Math · Chapter 8 · Lesson 2

Practice Worksheet

Cube Roots

The side length of a cube.

10 problems · about 18 minutes · 8.EE.A.2

NameDate

Figure — use these to answer the problems

Make all three edges equal. The volume is that edge cubed.
  • Cubes in one layer3 × 3 = 9
  • Layers3
  • 3 × 3 × 327 cubic units
Edge3
Edge3
Edge3
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Square Roots and Irrational Numbers”

    What is √100?

    Answer

  2. From “Calculating in Scientific Notation”

    (4 × 10⁵) × (2 × 10³). What is the exponent?

    Answer

  3. From “Zero and Negative Exponents”

    What is 10⁻²? Give it as a decimal.

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. Cube root of 216?

    Answer

  2. Cube root of 8?

    Answer

  3. Cube root of 1000?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Square root of 49?

    Answer

  2. Cube root of −64?

    Answer

Stretch Yourself

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

2 problems

  1. The Cube

    A cube has volume 125. What is its edge length?

    Answer

  2. The Negative

    What is the cube root of −27?

    Answer