Q1
What is 3³?
A27
B9
C3
D33
ICSEClass 8 (ICSE)MathematicsCh 4 · Topic 1
Cubes and Cube Roots
A cube number results from multiplying a number by itself three times, and a cube root is the value that gives the original number when cube
Core concept
A cube number, like 27 (3×3×3), results from multiplying a number by itself three times, written as 3³.
How it works
The cube root of a number, written as ∛27, is the value that when cubed gives that number - so ∛27 = 3.
Why it matters
We can find cube roots using prime factorisation, grouping factors in sets of three.
Key detail
Understanding cubes and cube roots is essential for solving problems involving volume, like finding the side length of a cube from its volume.
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Quick notes
• A cube number results from multiplying by itself three times.
• 27 = 3³ (3×3×3).
• A cube root is the inverse of cubing.
• ∛27 = 3.
• We find cube roots using prime factorisation.
• We group factors in sets of three.
• Cubes and roots help solve volume problems.
• They find side length from a cube's volume.