Question

Three cubes having edges 18 cm, 24 cm and 30 cm respectively are melted and made into a new cube. Find the edge of the new cube so formed.​

Answer 1

Answer:

Given,

3 cubes of sides 18cm, 24cm and 30cm respectively, were melted and formed a new cube.

Finding

We have to add the volumes of the 3 cubes and find the cube root of the resulting number to find the side length

Volume of Cube

Volume of Cube = S × S × S / S³

Volume of Cube 1 = 18³

V = 5832cm³

Volume of Cube 2 = 24³

V = 13824cm³

Volume of Cube 3 = 30³

V = 27000cm³

Volume of Cube 4

Volume of Cube 1 + Cube 2 + Cube 3 = Volume of Cube 4

5832cm³ + 13824cm³ + 27000cm³ = 46656cm³

Side of Cube 4 = ³√46656cm³

Side of Cube 4 = 36cm

Conclusion

So, the side length of Cube 4 is 36cm