what is the cube of 199
in long method
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Step-by-step explanation:
A cube is a three-dimensional shape with 6 equal square faces.
Hence, a cube with side length 199 has an area of 7,880,599.
The sum and the differences of two cubes, for example with side length 199 and 198, can be calculated with the following formulas:
1. a³ + b³ = ( a + b ) × ( a² - ab + b² )
⇔ a³ = ( a + b ) × ( a²- ab + b² )
With a = 199, b = 198 and the equivalence we get:
(199)³ = 397 x (199² – 199 × 198 + 198²) – 198³
= 397 x (39601 – 39402 + 39204) – 7762392
= 397 x 39403 – 7762392
= 7,880,599.
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