Find the cubes of the following numbers by column method:(i) 35(ii) 56 – InterviewSolution

1.

Find the cubes of the following numbers by column method:(i) 35(ii) 56

Answer»

(i) 35

We have, a = 3 and b = 5

Column I a³	Column II 3 × a²× b	Column III 3 × a × b²	Column IV b³
3³ = 27	3×9×5 = 135	3×3×25 = 225	5³ = 125
+15	+23	+12	+125
42	158	237
42	8	7	5

∴ The cube of 35 is 42875

(ii) 56

We have, a = 5 and b = 6

Column I a³	Column II 3 × a²× b	Column III 3 × a × b²	Column IV b³
5³ =125	3×25×6 =450	3×5×36 = 540	6³ = 216
+50	+56	+21	123
175	506	561
175	6	1	6

∴ The cube of 56 is 175616

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