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A metal cube is melted to …

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A metal cube is melted to form three smallest cubes of edges 3 cm , 4 cm and 5 cm . Find the edge of the original metal cube.

Posted by Sundram Jha 5 years ago

CBSE > Class 08 > Mathematics

2 answers

Yogita Ingle 5 years ago

Given the three cubes of metal whose side are 3 cm , 4 cm and 5 cm

Then volume of cube who side 3 cm=(3)³=27cm³

And volume of cube who side 4 cm=(4)³=64cm³

And volume of cube who side 5 cm=(5)³=125cm³

Total volume of melted cube=27+64+125=216cm³

Then the side of new cube=a³=216

⇒a=6cm

2Thank You

Gaurav Seth 5 years ago

vol. of larger metal cube = vol. of three smaller cubes
=(3)³ + 4³ + 5³
= 27 + 64 + 125
= 216 cm³
vol.of larger metal cube = 216 cm³
(a)³ = 216 cm³
a³ = 6³
a = 6 cm
therefore edge of larger metal cube is 6 cm

2Thank You

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CBSE > Class 08 > Mathematics