# Digital Cubes

The number $153$ is equal to the sum of the cubes of its digits:
$$1^3 + 5^3 + 3^3 = 1 + 125 + 27 = 153$$
In general,
$$a^3+b^3+c^3=100a+10b+c$$
There are three other $3$-digit numbers (Digital Cubes) with the same property, excluding numbers like $001$ with a leading zero.
Do you want to try to find them?
Firstly, you may want to list all the cubes of the ten digits;
$$0^3 = 0, 1^3 = 1, 2^3 = 8, 3^3 = 27, 4^3 = 64, 5^3 = 125, 6^3 = 216, 7^3 = 343, 8^3 = 512, 9^3 = 729$$
The first one has already been given for you, and try open the following three remaining cubes one at a time. Have fun!

$1^3 + 5^3 + 3^3 = 1 + 125 + 27 = 153$

$3^3 + 7^3 + 0^3 = 27 + 343 + 0 = 370$

$3^3 + 7^3 + 1^3 = 27 + 343 + 1 = 371$

$4^3 + 0^3 + 7^3 = 64 + 0 + 343 = 407$

### Related Articles

Welcome to the fascinating world of probability, where we’ll demystify one essential concept: Replacement in Probability. Whether you’re a student grappling with math problems or…

## Induction Made Simple: The Ultimate Guide

“Induction Made Simple: The Ultimate Guide” is your gateway to mastering the art of mathematical induction, demystifying a powerful tool in mathematics. This ultimate guide…

## Algebraic Divisibility Hack: Divide by 3 Easily

Understanding Divisibility by 3 Divisibility by $3$ is a fundamental concept in number theory. A number can be evenly divided by $3$ without…

## Kinematics Mastery: Proven Techniques for Better Grades

The Ultimate Guide to Understanding Kinematics Kinematics is a fundamental branch of mechanics that deals with the motion of objects without considering the forces that…

## Probability Explained: The Sum of Two Dice Made Easy

Probability Explained: The Sum of Two Dice Made Easy As an experienced mathematics tutor, I’ve seen many students struggle with understanding probability, particularly when it…