Question

A cuboidal block of metal has dimensions 36 cm by 32 cm 1.25 m it is melted and recast into cubes with an age of 4 cm how many cubes such cube can be made what is the cost of silver coating the services of the cube @. 75 rupees per square cm

Answer 1

(i) Given, Length of cuboid = 36 cm

Breadth of cuboid = 32 cm

Height of cuboid = 0·25 × 100 = 25 cm

So,

Volume of cuboid = lbh

= (36 × 32 × 25) cm³

= 28800 cm³

Volume of cube = (side)²

= (4)²

= 64 cm²

Hence, the number of cubes recasting from cuboid = 28800/64 = 450

(ii) Surface area of 1 cube = 6 × a²

= 6 × 16

= 96 cm²

So, the surface area of 450 cubes = 96 × 450

= 43200 cm²

Hence, the cost of silver coating on cubes = ₹0.75 × 43200

= ₹32400

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