Question

question:
How many planks each of which is 2m long, 2.5cm broad and 4cm thick can be cut-off from a wooden block 6m long, 15cm broad and 40 cm thick?(with solution)
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Answer 1

Answer: 180 planks

Step-by-step explanation:

Volume of wooden block  = 600cm × 15cm × 40cm = 360,000cm³

Volume of wooden plank = 200cm × 2.5cm × 4cm = 2,000 cm³

No. of planks = Volume of wooden block/Volume of wooden plank

                      = 360000/2000

                      = 180 planks

Answer 2

Given:-

• Dimensions of planks = 2m long, 2.5cm broad and 4cm thick.
• Dimensions of wooden blocks = 6m long, 15cm broad and 40 cm thick.

Solution :-

Planks and wooden block are in the shape of cuboid.

So,

Volume of cuboid(planks) = length × breadth × height

= 200 × 2.5 × 4

= 2000cm³

Again,

Volume of cuboid(wooden-blocks) = length × breadth × height

= 6m × 15cm × 40cm

= 600cm × 15cm × 40cm

= 360000cm³

Now, number of planks will be,

= Volume of wooden blocks / Volume of planks

= 360000 / 2000

= 180 units.

Therefore, 180 planks can be cut off.