Let us first understand the meaning of the cube number. When an integer is multiplied by itself three times the resultant number is known as its cube number. Basically, a cube number is a number obtained by the product of three same numbers. For example, \(5 \times 5 \times 5 = 5^{3} = 125\).

Cubes \(\textbf{1}\) to \(\textbf{50}\) is the list of all cube values from \(1\) to \(50\). If you remember these values of \(1\) to \(50\) cube, this will surely help you to simplify cube-related time-consuming calculations very fast.

What are Cubes 1 to 50?

The cube of a number means multiplying that number by itself three times. So, the cube of a number "x" is written as x3. For example, the cube of 2 is 23=2×2×2=8.

Cubes from 1 to 50 are simply the cube values of each number starting from 1 up to 50. These cube values start from 1 (which is 13) and go up to 125000 (which is 503).

The values of \(1\) to \(50\) cube are \(1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728, 2197, 2744, 3375, 4096, 4913, 5832, 6859, 8000, 9261, 10648, 12167, 13824, 15625, 17576, 19683, 21952, 24389, 27000, 29791, 32768, 35937, 39304, 42875, 46656, 50653, 54872, 59319, 64000, 68921, 74088, 79507, 85184, 91125, 97336, 103823, 110592, 117649\), and \(125000\).

• Exponent form of cube number, (\(x\)): \((x)^{3}\)
• Highest value of cubes from \(1\) to \(50\): \((50)^{3} = 125000\)
• Lowest value of cubes from \(1\) to \(50\): \((1)^{3} = 1\)

The image given below shows the \(1\) to \(50\) cube chart:

The table given below shows the cube numbers from \(1\) to \(50\) for even numbers:

Cube 1 to 50 for Odd Numbers

The table given below shows the cubes from \(1\) to \(50\) for odd numbers:

How to Calculate Values of Cube 1 to 50?

The cubes \(1\) to \(50\) can be found by multiplication by itself.

How to Find Cubes from 1 to 50

To get the cube of a number between 1 and 50, just multiply the number by itself three times.

For example:
To find the cube of 17, do this:
17 × 17 × 17 = 4913

So, the cube of 17 is 4913.

This same method works for all numbers from 1 to 50.

Properties of Cubes (1 to 50)

1. Cube of a Number
   The cube of a number is found by multiplying the number by itself three times.
   Example: Cube of 5 = 5 × 5 × 5 = 125
2. Cube of Even Numbers is Even
   When you cube an even number, the result is always even.
   Example: 4³ = 64, 6³ = 216
3. Cube of Odd Numbers is Odd
   When you cube an odd number, the result is always odd.
   Example: 3³ = 27, 5³ = 125
4. Cubes Can End with Different Digits
   The last digit of cube numbers can be any digit from 0 to 9.
   Example: 2³ = 8 (ends in 8), 4³ = 64 (ends in 4), 7³ = 343 (ends in 3)
5. Cubes Grow Very Fast
   As the base number increases, its cube becomes much bigger.
   Example:
   5³ = 125
   10³ = 1000
   20³ = 8000
   50³ = 125000
6. The Cube of Any Number Is Always Positive
   If the number is positive, its cube is positive.
   If the number is negative, its cube is also negative.
   Example:
   (3)³ = 27
   (−3)³ = −27
7. Perfect Cubes
   The cubes of whole numbers are called perfect cubes.
   Example: 1, 8, 27, 64, 125, etc., are perfect cubes.
8. Cube Roots Are Reverses of Cubes
   If you know the cube of a number, you can also find its cube root.
   Example: Cube root of 216 is 6 because 6³ = 216.

Cube Table 1 to 50

The table given below shows the cube numbers from \(1\) to \(50\):

Cube 1 to 50 Solved Examples

Example 1. Evaluate \(3\) times \(21\) cube plus \(4\).

Solution: The value of \(21^{3}\) is \(9261\).

\(3\times 21^{3} + 4 = 3\times 9261 + 4 = 27,787\)

Therefore, the value of \(3\) times \(21\) cube plus \(4\) is \(27,787\).

Example 2. If a cube has a side of length \(40\) inches. Find the volume of the cube in cubic inches.

Solution: Volume of the cube \(= a^{3} = 40^{3}\)

Using values from cube \(1\) to \(50\) chart;

i.e. \(V = 64000\)

Therefore, the volume of the cube is \(64000\) \(\textrm{inches}^{3}\).

We hope that the above article is helpful for your understanding and exam preparations. Stay tuned to the Testbook App for more updates on related topics from Mathematics, and various such subjects. Also, reach out to the test series available to examine your knowledge regarding several exams.