Q1 of 48 Page 13

If the sum of all the edges of a cube is 36 cm, then what will be the volume of that cube?

Concept Used:


Each side of a cube is equal.


The volume of Cube = a3


Given: Sum of edges of a cube = 36 cm


Assumption: Let the edge of the cube be ‘a’ cm.


Explanation:


Sum of all the edges of cube = 36 cm


As there are 6 sides of the cube, Sum of edges = 6 a


Therefore, 6a = 36


⇒


⇒ a = 6 cm


Now, we know that, Volume of a cube = a3


Putting the value of “a” we get,


The volume of the cube = (6 cm)3


= 216 cm3


∴ The Volume of the cube is 216 cm3.


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