Question

three metal cubes of sides 6 8 and 10 cm are melted and formed into a single cube if there is no loss of metal in the process what is the side of the big cube?

answer : 12
need explanation​

Answer 1

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Answer 2

Answer- The above question is from the chapter 'Surface Areas and Volumes'.

Concepts used: 1) Volume of cube with side s = s³ unit³

2) On melting some cubes to form a big cube, the volumes of all smaller cubes is equal to volume of the bigger cube.

Given question: Three metal cubes of sides 6, 8 and 10 cm are melted and formed into a single cube. If there is no loss of metal in the process, what is the side of the big cube?

Solution: Let s₁ = 6 cm

s₂ = 8 cm

s₃ = 10 cm

Let the side of bigger cube be S.

Volume of cube₁ + cube₂ + cube₃ = Volume of bigger cube

6³ + 8³ + 10³ = S³

216 + 512 + 1000 = S³

S³ = 1728

S = ∛1728

S = 12 cm

∴ Side of bigger cube = 12 cm.