RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 21. Mensuration-II (Volumes and Surface Areas of a Cuboid and a Cube)

Subject: Maths - Class 8th

Q. No. 9 of Exercise 21.4

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9

Three equal cubes are placedadjacently in a row. Find the ratio of total surface area of the new cuboid to that of the sum of the surface areas of the three cubes.

Given,


Let edge length of three equal cubes = a


Then,


Sum of surface area of 3 cubes =


When these cubes are placed in a row adjacently they form a cuboid.


Length of new cuboid formed = a+a+a = 3a


Breadth of cuboid = a


Height of cuboid = a


Total surface area of cuboid =


=


Hence,


=


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