A solid cube of by edge 10 cm is melted and cast into a cuboid whose base measures 20cm by 10 cm. find the height of the cuboid.
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QUESTION :-
A solid cube of by edge 10 cm is melted and cast into a cuboid whose base measures 20cm by 10 cm. find the height of the cuboid.
ANSWER:-
Volume of Cube = Side³
(10 cm)³
1000 cm³ ...(1.)
This is melted and cast into the Cuboid. The Volume of Cuboid so made will be equal to the Volume of the Cube.
Let the height of the cuboid be h cm.
Then,
Volume of Cuboid = l × b × h
= 20 × 10 × h
= 200h ...(2.)
Equating (1.) and (2.),
We have 200h = 1000
h = 1000/200
h = 5
.°. the height of the cuboid is 5 cm.
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