16. If 50 cm? of a metal bar weighs 5 kg, find the
weight of the bar of dimensions 14 cm by 18 cm
by 20 cm formed using the same metal.
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The dimensions of the cuboidal metal block are 20 cm,16 cm and 12 cm
Volume of cuboid =length×breadth×height (Product of all three dimensions)
Volume of metal block=20×16×12=3840 cm
3
The weight of 3840 cm
3
=6kg (Given)
∴The weight of 1 cm
3
=
3840
6
(By unitary method)
To find the weight of the metal block with dimensions 10 cm,8 cm and 8 cm, we first need to find its volume.
Volume=10×8×8=640 cm
3
We know that,
The weight of 1 cm
3
=
3840
6
∴The weight of 640 cm
3
=
3840
6
×640=1 kg (By unitary method
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