a cubodial metal block of dimensions 20cm×16cm×12cm weighs6kg. The weight of block of the same metalof size 10cm×8cm×8cm is
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Answer:
The dimensions of the cuboidal metal block are
20
c
m
,
16
c
m
a
n
d
12
c
m
Volume of cuboid =
l
e
n
g
t
h
∗
b
r
e
a
d
t
h
∗
h
e
i
g
h
t
(Product of all three dimensions)
Volume of metal block=
20
∗
16
∗
12
=
3840
c
m
3
The weight of
3840
c
m
3
=
6
k
g
(Given)
∴
The weight of
1
c
m
3
=
6
3840
(By unitary method)
To find the weight of the metal block with dimensions
10
c
m
,
8
c
m
a
n
d
8
c
m
, we first need to find its volume.
Volume=
10
∗
8
∗
8
=
640
c
m
3
We know that,
The weight of
1
c
m
3
=
6
3840
∴
The weight of
640
c
m
3
=
6
3840
∗
640
=
1
k
g
(By unitary method)
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