Question

Three metal cubes with edges 6 cm, 8 cm and 12 cm respectively are melted down and made into a single cube. Find the length of one edge of the resulting cube.

Answer 1

Answer: 13.5

Explanation:

Find the total volume of the melted cubes:

V₁ = 6³ V₂ = 8³ V₃ = 12³

= 216 = 512 = 1728

So the new cube will have a volume of 216 + 512 + 1728 = 2456

Volume of the cube = side³

2456 = s³

`\sqrt[3]{2456} = s`

13.5 = s