A cuboidal block of solid iron has dimensions 50 cm,45 cm and 34 cm. How many cuboids of size 5 cm by 3 cm by 2 cm can be obtained from this block? Assume cutting causes no wastage.

Explanation

Dimension of the cuboidal iron block `=50 cm×45 cm×34 cm`
Volume of the iron block = `(Length) × breadth×height`
`=(50×45×34) cm^3`
`=76500 cm ^3`
It is given that the dimension of one small cuboids is `5 cm×3 cm×2 cm.`
Volume of one small cuboid = (length×breadth×height)=`(5×3×2) cm ^3`
`=30 cm^3`
∴ The required number of small cuboids that can be obtained from the iron block
`=76500/30`
=`2550`