What is the cube root of 27?

The cube root of 27 is 3. 27 = 3^3, so cbrt(27) = 3 exactly. Verify: 3 x 3 x 3 = 27.

Is 27 a perfect cube?

Yes. 27 = 3^3, so cbrt(27) = 3 exactly.

What is cbrt(27) cubed?

(cbrt(27))^3 = 27. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(27))^3 = 27 always.

How is cube root different from square root?

Square root: sqrt(27) approximately 5.196152. Cube root: cbrt(27) approximately 3.000000. Key differences: - Cube roots exist for negative numbers: cbrt(-8) = -2. Square roots of negatives are imaginary. - Cube roots grow more slowly than square roots. - Perfect cubes are rarer than perfect squares.

What are the perfect cubes from 1 to 30?

Only three: 1 (= 1^3), 8 (= 2^3), and 27 (= 3^3). 27 is a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 27 — cbrt(27) = 3

The cube root of 27 is 3. 27 is a perfect cube (3^3 = 27), so its cube root is the exact integer 3. This page shows the exact value, simplified radical form, decimal to 20 decimal places, step-by-step working, and a 3D cube visualisation....

∛27 = ?

CUBE ROOT OF 27

Exact — 27 is a perfect cube (3³ = 27)

Exact form

Decimal (6dp)

3.000000

Decimal (10dp)

3.0000000000

Is perfect cube?

Yes ✓

(∛27)³

27 ✓

Between

3 (exact)

STEP-BY-STEP

Find a number k such that k³ = 27

3 × 3 × 3 = 27 ✓

∛27 = 3 (exact)

FUN FACT

cbrt(27) = 3 exactly. 27 = 3^3 is a perfect cube. Among 1 to 30, only 1, 8, and 27 are perfect cubes.

CUBE WITH VOLUME = 27

NEARBY PERFECT CUBES

∛8= 22³ = 8

∛27= 33³ = 27you are here

∛64= 44³ = 64

∛125= 55³ = 125

∛216= 66³ = 216

CUBE ROOT LAWS

∛27 × ∛27 × ∛27= 27

(∛27)³= 27

∛(27 × 8)= 2∛27 ≈ 6.0000

∛(27 / 8)= ∛27/2 ≈ 1.5000

∛27 × ∛28≈ 9.1098

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HOW TO CALCULATE

1
27 is a perfect cube: 3^3 = 27. Perfect cubes always have exact integer cube roots.
2
Verify: 3 x 3 x 3 = 27. The cube root of 27 is exactly 3.
3
Memorise the perfect cubes: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000. These have exact integer cube roots.
4
Check: (cbrt(27))^3 = 27 confirms the answer.

WORKED EXAMPLE

cbrt(27): perfect cube, 3 x 3 x 3 = 27. cbrt(27) = 3 (exact).

FREQUENTLY ASKED QUESTIONS

OTHER CUBE ROOTS

∛1 ∛2 ∛3 ∛4 ∛5 ∛6 ∛7 ∛8 ∛9 ∛10 ∛11 ∛12 ∛13 ∛14 ∛15 ∛16 ∛17 ∛18 ∛19 ∛20 ∛21 ∛22 ∛23 ∛24 ∛25 ∛26 ∛28 ∛29 ∛30

Bold bordered = perfect cubes (∛1=1, ∛8=2, ∛27=3)

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Last updated: April 28, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.