Question

How many planks, each 2m long, 14 cm broad and 5 cm thick can be prepared from a block which is 8m long, 70 cm broad and 45 cm thick.

Answer 1

Volume odf desired block=`l xx b xx h`
`= 2m xx 14 cm xx 5 cm`
`= 200 xx 14 xx 5`
`= 1400 cm^3`
Volume of given block= `8m xx 70 cm xx 45 cm`
`= (800 xx 70 xx 45) cm^3`
Volume of `x`dsired block = volume of given block
`x xx (200 xx 14 xx 5) cm^3 = (800 xx 70 xx 45) cm^3 `
`x = (800 xx 70 xx 45)/(200 xx 14 xx 5)`
`x = 180` planks
answer