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Question
Find the cubes of the following number by column method 56 .
Sum
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Solution
We have to find the cube of 56 using column method. We have: \[a = 5 \text{ and b = 6\]
| Column I a3 |
Column II \[3 \times a^2 \times b\]
|
Column III \[3 \times a^2 \times b\]
|
Column IV b3 |
|---|---|---|---|
|
\[5^3 = 125\]
|
\[5^3 = 125\]
|
\[3 \times a \times b^2 = 3 \times 5 \times 6^2 = 540\]
|
\[6^3 = 216\]
|
| +50 | +56 | + 21 | 216 |
| 175 | 506 | 561 | |
| 175 | 6 | 1 | 6 |
Thus, cube of 56 is 175616.
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