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Byju's Answer
Standard VI
Physics
Volume of Regular Solids
What is the v...
Question
What is the volume of the given cuboid? Area of each side of smaller cube is
1
c
m
2
.
A
5
c
m
3
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B
6
c
m
3
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C
7
c
m
3
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D
8
c
m
3
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Solution
The correct option is
D
8
c
m
3
Given:
Area of the side of the cube,
A
=
1
c
m
2
.
Cuboid is made of the given cubes.
Side of a cube is a square. Area of sqaure is given by:
A
=
a
2
where
a
is the length of the side of the square.
1
c
m
2
=
a
2
a
=
1
c
m
Hence side length is
1
c
m
. This is also the length of the side of the cube.
Volume of a cube is given by:
V
=
a
3
V
=
1
3
c
m
3
=
1
c
m
3
The given cuboid consists of
8
smaller cubes.
So, the volume is:
V
′
=
8
×
1
c
m
3
=
8
c
m
3
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.
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