Question

The length of a cuboid is 12cm breadth & height are equal measurements & its volume is 432cm³.The cuboid cut into 2 cubes.Find lateral surface area of each cube.?

Answer 1

Given : volume=432, length=12,breadth=height

length x breadth x height = 432

breadth x height = 432/12

breadth = height[given]

hence => breadth x breadth = 36

breadth= sqrt[36]

breadth=6

this means height = 6

so height =6

breadth =6

length =12

cube should have all sides of same length

so each cube should have 6x6x6 length

so side of cube a=6

lateral surface area of cube = 4 x a x a

= 4 x 6 x 6

= 4 x 36

= 144

so each new cube should have LSA[lateral surface area]=144

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