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Standard VI
Mathematics
Comparison of 1D, 2D and 3D Objects
The external ...
Question
The external dimensions of a closed wooden box are 62 cm, 30 cm and 18 cm. If the box is made of 2-cm-thick wood, find the capacity of the box.
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Solution
External length = 62 cm
External width = 30 cm
External height = 18 cm
∴ External volume of the box
=
62
×
30
×
18
=
33480
c
m
3
Thickness of the wood = 2 cm
Now, internal length
=
62
-
(
2
×
2
)
=
58
cm
Internal width
=
30
-
(
2
×
2
)
=
26
cm
Internal height
=
18
-
(
2
×
2
)
=
14
cm
∴ Capacity of the box = internal volume of the box
=
(
58
×
26
×
14
)
c
m
3
=
21112
c
m
3
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