What will be the volume (V)

What will be the volume (V) of the cuboid, if its length is doubled, height is halved and breadth is tripled?
यदि घनाभ की लंबाई दोगनी, ऊंचाई आधी तथा चौड़ाई तिगुनी कर दी जाए, तो इसका आयतन (V) कितना हो जाएगा?

6V 4V 3V 2V

Detailed Solution & Logic

Correct Answer:

3V

Volume of a cuboid V = $ l \times b \times h $
Original dimensions: l b h
Original volume = l b h
New dimensions: l = 2l b = 3b h = $ \frac{h}{2} $
New volume V = l b h = (2l) (3b) $\frac{h}{2} $
V' = 3 l b h
Therefore, the new volume is 3 times the original volume.
Answer V = 3V

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