How many planks each of which is 3 m long, 15 cm broad and 5 cm thick

1.	How many planks each of which is 3 m long, 15 cm broad and 5 cm thick can be prepared from a wooden block 6 m long, 75 cm broad and 45 cm thick?
Answer» 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 = volume of wooden block / volume of one plank = (600 × 75 × 45) / (300 × 15 × 5) = 90 planks ∴ 90 planks are required to prepare the block.

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

Answer»

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 = volume of wooden block / volume of one plank

= (600 × 75 × 45) / (300 × 15 × 5)

= 90 planks

∴ 90 planks are required to prepare the block.