Question

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 1

Let l, b and h be the length, breadth and height of the given cubiod respectively.
$\therefore$ Volume = lbh.
(i) Length is doubled = 2l
Breadth is halved = $\frac{b}{2}$
Height is same = h
$\therefore$ Volume = $2l\times \frac{b}{2}\times h=lbh$
$\therefore$ The volume will be the same.
(ii) Length is doubled = 2l
breadth is same = b
height is doubled = 2h
$\therefore$ Volume = $2l\times b\times 2h=4lbh$
$\therefore$ Volume will be 4 times