What is the cube root of 1?

The cube root of 1 is 1. 1 = 1^3, so cbrt(1) = 1 exactly. Verify: 1 x 1 x 1 = 1.

Yes. 1 = 1^3, so cbrt(1) = 1 exactly.

What is cbrt(1) cubed?

(cbrt(1))^3 = 1. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(1))^3 = 1 always.

How is cube root different from square root?

Square root: sqrt(1) approximately 1.000000. Cube root: cbrt(1) approximately 1.000000. 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). 1 is a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 1 — cbrt(1) = 1

The cube root of 1 is 1. 1 is a perfect cube (1^3 = 1), so its cube root is the exact integer 1. This page shows the exact value, simplified radical form, decimal to 20 decimal places, step-by-step working, and a 3D cube visualisation....

∛1 = ?

CUBE ROOT OF 1

Exact — 1 is a perfect cube (1³ = 1)

Exact form

Decimal (6dp)

1.000000

Decimal (10dp)

1.0000000000

Is perfect cube?

Yes ✓

(∛1)³

1 ✓

Between

1 (exact)

STEP-BY-STEP

Find a number k such that k³ = 1

1 × 1 × 1 = 1 ✓

∛1 = 1 (exact)

FUN FACT

The cube root of 1 is 1. It is the only positive integer equal to its own cube root. 1 cubed = 1.

CUBE WITH VOLUME = 1

NEARBY PERFECT CUBES

∛0= 00³ = 0

∛1= 11³ = 1you are here

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

CUBE ROOT LAWS

∛1 × ∛1 × ∛1= 1

(∛1)³= 1

∛(1 × 8)= 2∛1 ≈ 2.0000

∛(1 / 8)= ∛1/2 ≈ 0.5000

∛1 × ∛2≈ 1.2599

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HOW TO CALCULATE

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

WORKED EXAMPLE

cbrt(1): perfect cube, 1 x 1 x 1 = 1. cbrt(1) = 1 (exact).

FREQUENTLY ASKED QUESTIONS

OTHER CUBE ROOTS

∛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 ∛27 ∛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.