What will happen to the volume of a cuboid if its(i) Length is doubled

1.	What will happen to the volume of a cuboid if its(i) Length is doubled, height is same and breadth is halved?(ii) Length is doubled, height is doubled and breadth is same?
Answer» Let us consider, Length of a cuboid be ‘l’ Breadth of a cuboid be ‘b’ Height of a cuboid be ‘h’ So, Volume of a cuboid = l × b × h Now, (i) Length of a cuboid becomes = 2l Breadth = b/2 Height = h Volume of cuboid = 2l × b/2 × h = l × b × h (remains same) (ii) Length of a cuboid becomes = 2l Breadth = b Height = 2h Volume of cuboid = 2l × b × 2h = 4lbh (four times)

What will happen to the volume of a cuboid if its(i) Length is doubled, height is same and breadth is halved?(ii) Length is doubled, height is doubled and breadth is same?

Answer»

Let us consider,

Length of a cuboid be ‘l’

Breadth of a cuboid be ‘b’

Height of a cuboid be ‘h’

So, Volume of a cuboid = l × b × h

Now,

(i) Length of a cuboid becomes = 2l

Breadth = b/2

Height = h

Volume of cuboid = 2l × b/2 × h = l × b × h (remains same)

(ii) Length of a cuboid becomes = 2l

Breadth = b

Height = 2h

Volume of cuboid = 2l × b × 2h = 4lbh (four times)