Question

If the length of a cuboid is doubled, breadth is divided by 4 and height is made 4 times the initial height, then what is the change in the volume of the cuboid?

• A. Volume is doubled.
• B. Volume is halved.
• C. Volume becomes three times.
• D. Volume becomes one third.

Answer 1

The correct option is A Volume is doubled.

We know that,
volume of the cuboid
$=length\times breadth\times height$

Now,
initial volume of cuboid
$=length\times breadth\times height$
$=lbh$
final volume of cuboid
$=2\left(length\right)\times \frac{\left(breadth\right)}{4}\times 4\left(height\right)$
$=2(length\times breadth\times height)$
$=2\times initialvolumeofcuboid$
$=2lbh$

Hence, the volume is doubled.