Class VIII Mathematics

Chapter 6: Cubes and Cube Roots

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Key Formulas & Equations

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Hardy Ramanujan Identity

sin θcos θθ
1729 = 1^3 + 12^3 = 9^3 + 10^3

Smallest taxicab number expressible as sum of two cubes in two different ways.

Related Formulas from Adjacent Chapters

Square Sum Identity

\sum_{i=1}^{n} (2i-1) = n^2

[From Squares and Square Roots] Sum of first n consecutive odd numbers is n-squared.

Compound Interest Amount

A = P\left(1 + \frac{R}{100}\right)^n

[From Comparing Quantities] Future accumulated value under annual compounding interest.