Question

surface area of a solid is always greater than its volume . Yes or no....give REASON for answer.

Answer 1

.....................

your anwer is .............. no

this cube has a surface area of 600 sqare milimeters , a volume of 1000 cubic centimeters . the volume seems much longer than surface area . these two cubes we considered are exactly tha same the suface area is greater than the volume , and less than the volume , just depending on what units we use

Answer 2

Here, it cannot be determined.
May be in one case the surface area is greater but in the other case, volume may be greater too.
Most of the times volume is greater but not always.

Let's take a few examples -
1. We consider the edge of a cube of 1m.
Now, its surface area = 6*(1)^2 = 6*1 = 6 sq. m.
But it's volume = 1*1*1 = 1 cu. m.
So, in this case, surface area > volume.

2. We consider the edge of the cube be 10m.
It's surface area = 6*(10)^2 = 6*100 = 600 sq. m.
Volume = 10*10*10 = 1000 cu. m.
Now, in this case, volume > surface area.

Hope u understand,.

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