Cubes of 1 to 50 range from 1³ = 1 to 50³ = 125,000. A cube of a number n is n × n × n, written as n³. Knowing cubes from 1 to 50 is essential for competitive exams (CAT, SSC, banking), board exams, and aptitude tests. It speeds up calculations involving volume, algebra, and number theory. This page provides the complete cubes of 1 to 50 table, last digit patterns, key values to memorise, and tips for cube roots.
Cubes of 1 to 50: from 1³=1 to 50³=1,25,000.
Last digit pattern: 2→8, 3→7, 7→3, 8→2; digits 0,1,4,5,6,9 keep their last digit.
Multiples of 10: 20³=8,000; 30³=27,000; 40³=64,000; 50³=1,25,000.
Key values: 5³=125, 15³=3375, 25³=15625, 35³=42875, 45³=91125.
Sum of cubes formula: 1³+2³+...+n³ = [n(n+1)/2]².
Each cube n³ equals the sum of n consecutive odd numbers.
32³=32,768; 36³=46,656; 48³=1,10,592; 49³=1,17,649.
Cubes grow much faster than squares: 50²=2,500 but 50³=1,25,000.
1³ = 1 2³ = 8 3³ = 27 4³ = 64 5³ = 125 6³ = 216 7³ = 343 8³ = 512 9³ = 729 10³ = 1,000 11³ = 1,331 12³ = 1,728 13³ = 2,197 14³ = 2,744 15³ = 3,375 16³ = 4,096 17³ = 4,913 18³ = 5,832 19³ = 6,859 20³ = 8,000 21³ = 9,261 22³ = 10,648 23³ = 12,167 24³ = 13,824 25³ = 15,625 26³ = 17,576 27³ = 19,683 28³ = 21,952 29³ = 24,389 30³ = 27,000 31³ = 29,791 32³ = 32,768 33³ = 35,937 34³ = 39,304 35³ = 42,875 36³ = 46,656 37³ = 50,653 38³ = 54,872 39³ = 59,319 40³ = 64,000 41³ = 68,921 42³ = 74,088 43³ = 79,507 44³ = 85,184 45³ = 91,125 46³ = 97,336 47³ = 1,03,823 48³ = 1,10,592 49³ = 1,17,649 50³ = 1,25,000
For quick recall in exams, memorise these milestone cubes:
5³ = 125 10³ = 1,000 15³ = 3,375 20³ = 8,000 25³ = 15,625 30³ = 27,000 40³ = 64,000 50³ = 1,25,000
Shortcuts for multiples of 10: 10³ = 1,000 20³ = 8,000 (= 2³ × 10³ = 8 × 1,000) 30³ = 27,000 (= 3³ × 10³ = 27 × 1,000) 40³ = 64,000 (= 4³ × 10³ = 64 × 1,000) 50³ = 1,25,000 (= 5³ × 10³ = 125 × 1,000)
For multiples of 5: 5³ = 125 15³ = 3,375 25³ = 15,625 35³ = 42,875 45³ = 91,125
31 to 40: 31³ = 29,791 32³ = 32,768 33³ = 35,937 34³ = 39,304 35³ = 42,875 36³ = 46,656 37³ = 50,653 38³ = 54,872 39³ = 59,319 40³ = 64,000
41 to 50: 41³ = 68,921 42³ = 74,088 43³ = 79,507 44³ = 85,184 45³ = 91,125 46³ = 97,336 47³ = 1,03,823 48³ = 1,10,592 49³ = 1,17,649 50³ = 1,25,000
The last digit of n³ depends only on the last digit of n — this pattern repeats for all numbers:
Last digit of n | Last digit of n³ 0 | 0 1 | 1 2 | 8 3 | 7 4 | 4 5 | 5 6 | 6 7 | 3 8 | 2 9 | 9
Key pairs that swap: 2↔8 and 3↔7 Digits that stay the same: 0, 1, 4, 5, 6, 9
Examples: • 32³ = 32,768 → ends in 8 (because 2→8) ✓ • 37³ = 50,653 → ends in 3 (because 7→3) ✓ • 45³ = 91,125 → ends in 5 (because 5→5) ✓ • 49³ = 1,17,649 → ends in 9 (because 9→9) ✓
Useful trick: to find the cube root of a perfect cube, use the last digit to determine the last digit of the cube root.
Perfect cubes in the range 1 to 1,25,000 (cubes of 1 to 50):
∛1 = 1 ∛8 = 2 ∛27 = 3 ∛64 = 4 ∛125 = 5 ∛216 = 6 ∛343 = 7 ∛512 = 8 ∛729 = 9 ∛1,000 = 10 ∛1,331 = 11 ∛1,728 = 12 ∛2,197 = 13 ∛2,744 = 14 ∛3,375 = 15 ∛4,096 = 16 ∛4,913 = 17 ∛5,832 = 18 ∛6,859 = 19 ∛8,000 = 20 ∛9,261 = 21 ∛10,648 = 22 ∛12,167 = 23 ∛13,824 = 24 ∛15,625 = 25 ∛17,576 = 26 ∛19,683 = 27 ∛21,952 = 28 ∛24,389 = 29 ∛27,000 = 30 ∛29,791 = 31 ∛32,768 = 32 ∛35,937 = 33 ∛39,304 = 34 ∛42,875 = 35 ∛46,656 = 36 ∛50,653 = 37 ∛54,872 = 38 ∛59,319 = 39 ∛64,000 = 40 ∛68,921 = 41 ∛74,088 = 42 ∛79,507 = 43 ∛85,184 = 44 ∛91,125 = 45 ∛97,336 = 46 ∛1,03,823 = 47 ∛1,10,592 = 48 ∛1,17,649 = 49 ∛1,25,000 = 50
1³=1, 2³=8, 3³=27, 4³=64, 5³=125, 6³=216, 7³=343, 8³=512, 9³=729, 10³=1000, 11³=1331, 12³=1728, 13³=2197, 14³=2744, 15³=3375, 16³=4096, 17³=4913, 18³=5832, 19³=6859, 20³=8000, 21³=9261, 22³=10648, 23³=12167, 24³=13824, 25³=15625, 26³=17576, 27³=19683, 28³=21952, 29³=24389, 30³=27000, 31³=29791, 32³=32768, 33³=35937, 34³=39304, 35³=42875, 36³=46656, 37³=50653, 38³=54872, 39³=59319, 40³=64000, 41³=68921, 42³=74088, 43³=79507, 44³=85184, 45³=91125, 46³=97336, 47³=103823, 48³=110592, 49³=117649, 50³=125000.
50³ = 1,25,000. Quick method: 50³ = 5³ × 10³ = 125 × 1000 = 1,25,000.
45³ = 91,125. Calculation: 45 × 45 × 45 = 2025 × 45 = 2025×40 + 2025×5 = 81,000 + 10,125 = 91,125.
The last digit of 37³ is 3. Because the last digit of n³ depends only on the last digit of n: 7→3 (numbers ending in 7 always have cubes ending in 3). 37³ = 50,653 → ends in 3 ✓.
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