Question

What will be the volume (V) of the cuboid, if its length is doubled, height is halved and breadth is tripled?

• A. 4V
• B. 2V
• C. 6V
• D. 3V

Answer 1

Answer:

D. 3V

Let the original dimensions of the cuboid be:

• Length = (l)

• Breadth = (b)

• Height = (h)

Original volume

$V = l \times b \times h$
New dimensions

• New length = (2l)

• New breadth = (3b)

• New height = (\frac{h}{2})

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New volume

$V' = (2l) \times (3b) \times \left(\frac{h}{2}\right)$
$V' = 3lbh$
Compare with original volume

$V' = 3V$

The new volume of the cuboid will be 3 times the original volume.