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Q.

What will be the volume of cube of side 0.01m in cm 3  ?


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a

0.01

b

1

c

0.0001

d

0.000001 

answer is B.

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Detailed Solution

IMG_256
We know that a cuboid is a three-dimensional object with six rectangular faces connected by 8 vertices. It has three different types of sides called length, width and height denoted by Question Imageand Question Image. A cube is a cuboid with 6 square faces with all sides of equal length. It means (we denote).
The size of the space contained in a three-dimensional object is measured by a quantity called volume. The amount of space occupied by a cuboid is the product of length, width, and height. Mathematically, the volume of a cuboid is Question Image. So let's calculate the volume of the cube labeled Question Image.
V=l×b×h=a×a×a= a 3  
So the amount of space contained in a cube of side 1cm is  V cm =1cm×1cm×1cm=1 cm 3  of space. So now we find the volume of a cube with a side 1metre (m).
V m =1m×1m×1m ⇒ V m =100cm×100cm×100cm V m =1000000 cm 3  
We are given the question that the length of the side of the cube is 0.01m. So its volume will be
V=0.01m×0.01m×0.01=0.000001 m 3  
We convert the volume into cm 3  and have,
V=0.000001×1000000 cm 3   =1
So, the correct Ans is Option 2.
 
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What will be the volume of cube of side 0.01m in cm 3  ?