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Find the Cubes of the Following Number by Column Method 35. - Mathematics

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Question

Find the cubes of the following number by column method 35.

Sum

Solution

We have to find the cube of 35 using column method. We have: \[a = 3 and b = 5\] 

Column I
a3
Column II
 
\[a = 3 \text{ and } b = 5\]
Column III
 

\[3 \times a \times b^2\]
Column IV
b3
    
 
\[3^3 = 27\]
        
 

\[3 \times a^2 \times b = 3 \times 3^2 \times 5 = 135\]
    
 

\[3 \times a^2 \times b = 3 \times 3^2 \times 5 = 135\]
    
 

\[5^3 = 125\]
         +15                                             +23                                        + 12             125
           42                                             158                                         237
           42                                                 8                                              7                5

 

Thus, cube of 35 is 42875.

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Chapter 4: Cubes and Cube Roots - Exercise 4.1 [Page 9]

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RD Sharma Mathematics [English] Class 8
Chapter 4 Cubes and Cube Roots
Exercise 4.1 | Q 19.1 | Page 9

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