Math Problem Statement

What is the cube of numbers from 1 to 10?

Solution

The image shows a multiplication and exponentiation table for the cubes of numbers from 1 to 10. The pattern in the table illustrates the relation:

n×n×n=n3n \times n \times n = n^3

Here's the breakdown of each calculation from the table:

  1. 1×1×1=13=11 \times 1 \times 1 = 1^3 = 1
  2. 2×2×2=23=82 \times 2 \times 2 = 2^3 = 8
  3. 3×3×3=33=273 \times 3 \times 3 = 3^3 = 27
  4. 4×4×4=43=644 \times 4 \times 4 = 4^3 = 64
  5. 5×5×5=53=1255 \times 5 \times 5 = 5^3 = 125
  6. 6×6×6=63=2166 \times 6 \times 6 = 6^3 = 216
  7. 7×7×7=73=3437 \times 7 \times 7 = 7^3 = 343
  8. 8×8×8=83=5128 \times 8 \times 8 = 8^3 = 512
  9. 9×9×9=93=7299 \times 9 \times 9 = 9^3 = 729
  10. 10×10×10=103=100010 \times 10 \times 10 = 10^3 = 1000

These operations reflect the cube of each integer from 1 to 10.

Would you like further explanations or examples of cube numbers? Here are 5 related questions:

  1. What is the cube of 11?
  2. How does the cube function differ from squaring a number?
  3. What is the geometric interpretation of cubing a number?
  4. How are cube roots related to cubic numbers?
  5. Can you express a cubic number in terms of factors?

Tip: Cubing a number involves raising it to the power of three, which means multiplying the number by itself two more times.

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Math Problem Analysis

Mathematical Concepts

Multiplication
Exponentiation
Cubic Numbers

Formulas

n × n × n = n^3

Theorems

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Suitable Grade Level

Grades 4-6