Question

How many Metal cubicle blogs of side 30 cm can be cast by melting a rectangular piece of metal 3 m into 75 cm into 60 cm

Answer 1

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$50$

$\Large{\green{\underline{\underline{\tt{Solution:}}}}}$

Given that we nee to make a metal cubical blocks of side 30 cm.

Given a rectangular piece of metal 3 m x 75 cm  x 60 cm

⇒Volume of the rectangular metal = 3* 100 * 75 * 60 cm³

⇒ Volume of rectangular metal = 13,50,000 cm³

Let the number of cubical metal blocks that could be made be 'x'.

SInce, cubical metal has side 30 cm , it's volume would be

= 30 * 30 * 30 cm³

= 27,000 cm³.

Entire volume of all the cubical blocks will be = 27,000 x

But these blocks should be casted out from rectangular block

⇒27,000 x = 13,50,000

⇒ x = 50

Hence, 50 metal cubical blocks can be cast from given rectangular block..

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Answer 2

Answer:

Given that we nee to make a metal cubical blocks of side 30 cm.

Given a rectangular piece of metal 3 m x 75 cm x 60 cm

⇒Volume of the rectangular metal = 3* 100 * 75 * 60 cm³

⇒ Volume of rectangular metal = 13,50,000 cm³

Let the number of cubical metal blocks that could be made be 'x'.

SInce, cubical metal has side 30 cm , it's volume would be

= 30 * 30 * 30 cm³

= 27,000 cm³.

Entire volume of all the cubical blocks will be = 27,000 x

But these blocks should be casted out from rectangular block

⇒27,000 x = 13,50,000

⇒ x = 50

Hence, 50 metal cubical blocks can be cast from given rectangular block..