1 cubed = 13 = 1x1x1 = 1
2 cubed = 23 = 2x2x2 = 8
3 cubed = 33 = 3x3x3 = 27
4 cubed = 43 = 4x4x4 = 64
5 cubed = 53 = 5x5x5 = 125
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2 squared --> 4 2 cubed --> 8 3 squared --> 9 3 cubed --> 27
1 metre cubed = 100 cm * 100 cm * 100 cm = 1 000 000 cm cubedso 125 000 cm cubed in metres cubed = 125 000 / 1 000 000 = 0.125 m ^3
Two sets are equivalent if they have the same cardinality. In [over-]simplified terms, if they have the same number of distinct elements. Two sets are equal if the two sets contain exactly the same distinct elements. So {1, 2, 3} and {Orange, Red, Blue} are equivalent but not equal. {1, 2, 3} and {2, 2, 2, 3, 1, 3} are equal.
2^3 + 3^2 = (2 x 2 x 2) + (3 x 3) = (8) + (9) = 17
The equation x^3 + y^3 = z^3 is known as Fermat's Last Theorem, which states that there are no integer solutions for x, y, and z when the exponent is greater than 2. This theorem was famously proven by mathematician Andrew Wiles in 1994 after centuries of attempts. Therefore, there are no whole number solutions to the equation x^3 + y^3 = z^3.