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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

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

and

. 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

. So let's calculate the volume of the cube labeled

.

V = l × b × h = a × a × a = a 3

So the amount of space contained in a cube of side 1cm is

V cm = 1 cm × 1 cm × 1 cm = 1 cm 3

of space. So now we find the volume of a cube with a side 1metre (m).

V m = 1 m × 1 m × 1 m ⇒ V m = 100 cm × 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 = 0.01 m × 0.01 m × 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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