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Standard V
Mathematics
Comparison of Volumes of Solids
A cuboid meas...
Question
A cuboid measures
36
m
×
24
m
×
18
m
. How many cubes of edge
6
m can be cut from the cuboid?
A
72
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B
144
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C
36
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D
288
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Solution
The correct option is
A
72
Given,
l
=
36
m
,
b
=
24
m
and
h
=
18
m
.
Volume of cuboid
=
l
×
b
×
h
=
36
×
24
×
18
=
15552
m
3
.
Given,
a
=
6
m
.
Volume of cube
=
a
3
=
6
×
6
×
6
=
216
m
3
.
Let the number of cubes be
x
.
Then,
⇒
216
×
x
=
15552
⇒
x
=
15552
216
⇒
x
=
72
.
Therefore,
72
cubes can be cut.
Hence, option
A
is correct.
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