Question

A plate of metal 1 cm thick. 9 cm broad. 81 cm long is melted in to a cube. Find thedifference in the surface area of two solids.​

Answer 1

Step-by-step explanation:

The Volume of metal plate = 1cm × 9cm × 81cm = 729cm³

The volume of cube = the volume of metal plate

side×side×side = 729

(side)³ = 729

side = 9 (cube root of 729)

Surface area of metal plate = length×breadth

= 9cm × 81cm = 729cm²

Surface area of cube = side×side

= 9cm×9cm = 81cm²

The difference in surface area = 729cm² - 81cm²

= 648cm²