Question

Five cubes are placed adjacent to each other in a row. Find the ratio of the total surface

area of the cuboid thus formed to the total surface area of the three cubes​

Answer 1

Step-by-step explanation:

let a = Side of each cube

So , the dimension of the resulting cuboid are

Length ( l ) = 5a

Breadth (b) = a

Height (h) = a

Total surface area of of cuboid,

2( lb + bh + hl )

2 [( 5a ) a + a × a + a × ( 5a ) ]

10a² + 2a² 10a²

= 22a²

Sum of the surface area of five cubes

5 ( 6a) ²

= 30 a²

Required Ratio ,

22 a ² / 30 a²

= 11 / 15

Thus , the required ratio is 11 : 15

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