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If length, breadth, and height of a cuboid is increased by a%, b%, and c% respectively, then its volume is increased by-
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If length, breadth, and height of a cuboid is increased by a%, b%, an...
Let us suppose that each side of the cuboid be 100 units. Then its volume 1003 units
Now new sides of the cuboid are: (100 + a), (100 + b) and (100 + c)
Then its new volume = (100 + a)(100 + b)(100 + c)
= 1003+1002(a+b+c)+100(ab+bc+ca)+abc
Then % change in volume
= 1002(a+b+c)+100(ab+bc+ca)+abc/1003) × 100
= (a+b+c + ab+bc+ca/100 + abc/(100)2)%
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If length, breadth, and height of a cuboid is increased by a%, b%, and c% respectively, then its volume is increased by-a)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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