Cube Trick: Cubes of Numbers Ending in 5

 

Introduction

Calculating cubes mentally can seem difficult, but some numbers follow easy-to-remember patterns. In this lesson, we'll look at cubes of numbers ending in 5 and practice recognizing cube values quickly.

What is a Cube?

The cube of a number is:

Number × Number × Number

Example:

5³ = 5 × 5 × 5 = 125

Example 1

Find:

5³

Solution

5 × 5 × 5

= 125

Answer

125

Example 2

Find:

15³

Solution

15 × 15 × 15

= 3375

Answer

3375

Example 3

Find:

25³

Solution

25 × 25 × 25

= 15625

Answer

15625

Example 4

Find:

35³

Solution

35 × 35 × 35

= 42875

Answer

42875

Example 5

Find:

45³

Solution

45 × 45 × 45

= 91125

Answer

91125

Practice Questions

Try these yourself:

  1. 55³

  2. 65³

  3. 75³

  4. 85³

  5. 95³

Answers

  1. 166375

  2. 274625

  3. 421875

  4. 614125

  5. 857375

Key Learning

Common cubes worth memorizing:

Number

Cube

5

125

10

1000

15

3375

20

8000

25

15625

Knowing common cubes helps solve aptitude and mental math questions faster.

Practice Tip

Start by memorizing cubes from:

1³ to 20³

This improves speed and confidence when solving numerical problems.

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