How many planks each of 3 m long, 15 cm broad and 5 cm thick can be prepared from a 6 m long, 75 cm broad and 45 cm thick wooden block?

# How many planks each of 3 m long, 15 cm broad and 5 cm thick can be prepared from a 6 m long, 75 cm broad and 45 cm thick wooden block?

1. A
90
2. B
85
3. C
56
4. D
12

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### Solution:

Given details are, Dimensions of one plank = 3m × 15cm × 5cm = 300cm × 15cm × 5cm Dimensions of wooden block = 6m × 75cm × 45cm = 600cm × 75cm × 45cm
We know that, Number of planks that can be prepared = = = 90 planks
Hence, 90 planks are required to prepare the block.
Hence, option (1) is the correct option.

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