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Question

The volume of a cuboid is given by the product of its length, breadth and height. The length of a cuboid is 2x2 times its breadth and the height is 32xy times of length. Find the volume of the cuboid if its breadth is 6y2.


Solution

We have,Breadth of the cuboid=6y2,Length of the cuboid=2x2×Breadth=2x2×6y2=12x2y2 andHeight of the cuboid=32xy×Length=32xy×12x2y2=18x3y3Now, the volume of the cuboid=Length×Breadth×Height=12x2y2×6y2×18x3y3=12×6×18×x2×x3×y2×y2×y3=1296x5y7

Disclaimer: The asnwer given in the textbook is incorrect. The same has been corrected here.

Mathematics
RD Sharma (2020, 2021)
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