Question

a metallic cuboid is 75 cm long 20 cm wide and 18 cm high It is melted into a cube find the side of the cube ​

Answer 1

$\huge\mathbb{SOLUTION:-}$

• Volume of cuboid =Volume of cube

$\boxed{\sf{Volume\:of\:cuboid=l\times b\times h}}$

$\sf Volume=75\times 20\times 18\\ \\ \sf\implies Volume=1500\times 18\\ \\ \sf\implies Volume=27000cm{}^{3}$

• Volume of cuboid =27000cu.cm

• Volume of cube= 27000cu.cm

$\boxed{\sf{Volume\:of\:cube=side{}^{3}}}$

$\sf\implies Volume=side{}^{3}\\ \\ \sf\implies \sqrt[3]{27000} =side\\ \\ \sf \implies side= 30cm$

• The side of cube is 30cm

$\boxed{\sf{Side\:of\:cube=30cm}}$

Answer 2

Answer:

30 cm is answer.

It's simple.:)

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Step-by-step explanation:

• Volume of the cuboid= Volume of cube
• Length×Breadth×Height (lbh)= (edge)³
• 75cm×20cm×18cm=(edge)³
• 27,000cm³=(edge)³
• ³√27000=edge
• 30cm=edge