Question

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

Answer 1

Answer :

• Edge is 6cm

Given :

• A metal cube is melted to form three smaller cubes of edges 3cm , 4cm , 5cm

To find:

• Edge

Solution :

Given that , Three cubes of metal whose sides are 3cm , 4cm and 5cm

As we know that , Volume of cube is a³

↝ Total volume of three cubes = (3)³ + (4)³ + (5)³

↝ 27 + 64 + 125

↝ Volume of three cubes = 216cm³

↝ Edge of New cube = √216

↝ 6cm

Hence , Edge is 6cm

More Explanation :

• Volume of cube = a³
• surface area of cube = 6 a²
• Diagonal of cube = √3 a
• Edge of cube = ³√v

Answer 2

Volume of a cube=a cube

↠Total volume of three cubes=(3) cube+(4)cube+(5)cube

↠27+64+125

↠Volume of three cubes=216 cm cube

↠Edge of new cube=√216

↠6 cm

Therefore the edge is 6 cm..