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

Explanation

Given that
Dimensions of one plank `=3m xx 15cm xx 5cm`
`=300cm xx 15cm xx 5cm`
Dimensions of wooden block `=6m xx 75cm xx 45cm `
`=600cm xx75cm xx 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.