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How many planks each 2 cm long, 3 cm broad and 4 cm thick can be cut-off from a wooden block 6 cm long, 18 cm broad and 44 cm thick?

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200

198

199

201

answer is B.

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Detailed Solution

Given, the dimensions of the plank are,
Length = 2cm,
Breadth = 3cm,
Height = 4cm.
So, volume of the plank= l

×

×

⇒ 2

× 3

×

4 cm

⇒ 24

3

The dimensions of the wooden block are,
Length = 6cm,
Breadth = 18cm,
Height = 44cm.
So, volume of the wooden block=l

×

×

⇒ 6

× 18

× 44

⇒ 4752

3

Number of planks = Volume of wooden block Volume of plank

⇒ 475224

⇒ 198

Hence, the number of the planks is 198.
Therefore, the correct option is 2.

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