Question

A metallic cuboid measuring 9 cm into 6 cm into 4 cm is melted and formed into a cube find the side of the cube

Answer 1

Step-by-step explanation:

Volume of the cuboid = Volume of the cube ; 9×6×4= Side³ ; 216 = Side³ ; Side = (216)⅓= 6 cm.

Answer 2

Given :

• Length →9 cm
• Breadth →6 cm
• Height →4 cm
• The cuboid is melted and formed into a cube.

To Find :

• Side of the cube.

Solution :

✪ When a shape is melted and formed into a new shape, the volume of the initial shape is equal to the volume of the new shape formed.

✪ Volume of cuboid :

$\large{\boxed{\mathtt{\blue{Volume_{cuboid}\:=\:l\:\times\:b\:\times\:h}}}}$

Where,

• l = length
• b = breadth
• h = height

✪ Block in the data,

➣ $\mathtt{Volume_{cuboid}\:=\:9\:\times\:6\:\times\:4}$

➣ $\mathtt{Volume_{cuboid}\:=\:54\:\times\:4}$

➣ $\mathtt{Volume_{cuboid}\:=\:216}$

$\large{\boxed{\sf{\red{Volume\:of\:cuboid\:=\:216\:cm^3}}}}$

✪ The cuboid with volume 216 cm³ is melted and formed into a cube.

$\mathtt{l\:\times\:b\:\times\:h\:=\:l^3}$

Where,

• l = side of cube.

➣ $\mathtt{216\:=\:l^3}$

➣ $\mathtt{^3{\sqrt216}=\:l}$

➣ $\mathtt{6\:=\:l}$

$\large{\boxed{\rm{\blue{Side\:of\:cube\:=\:l\:=\:6cm}}}}$