Question

Three metallic solid cubes whose edges are 3cm 4cm and 5 cm are melted and formed into a single cube. Find the edge of the cube so formed. ​

Answer 1

Step-by-step explanation:

Answer:-

6

Explanation :-

Let the length of the edge of the cube formed be x cm.

Then,

Volume of the new cube= sum of the volumes of three metallic cubes

${x}^{3} = {3}^{3} + {4}^{3} + {5}^{3} \\ {x}^{3 } = 27 + 64 + 125 \\ {x}^{3} = 216 \\ {x}^{3} = {6}^{3} \\ x = 6$

Hence the length of an edge of the new cube is 6 cm.

Answer 2

Answer:

area of the cube 6 L square

area of the cuboid 2(l + b ) h

I think length is 5cm breath is 4cm and height is 3cm because L>B>H

6L² = 2(5+ 4) 3

6L² = 2x9x3

6L²=54

L²=54/6 = 9

L=3cm

Therefore, the edge of the cube is 3 cm