a cuboidal metal block of dimensions 20cm x 16cm x 12cm x weighs 6 kg . the weight of block of the same metal of size 10cm x 8 cm x 8 cm is
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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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