Question

three cubes of sides 3 cm
4 cm and 5 cm are melted and a new cube is formed. Find the side of
the new cube . ​

Answer 1

vol of cubes = 3^3 + 4^3 + 5^3

= 27 + 64 + 125

= 216

side = 3√216

71cm?

is it correct?

Answer 2

Answer: The side of the new cube is 6 cm in length.

Step-by-step explanation:

Volume of a cube = a³

Side of cube 1 = 3 cm

Volume of cube 1 = 3³ cm³

:.Volume of cube 1 = 27 cm³

Side of cube 2 = 4 cm

Volume of cube 2 = 4³ cm³

:.Volume of cube 2 = 64 cm³

Side of cube 3 = 5 cm

Volume of cube 3 = 5³ cm³

:.Volume of cube 3 = 125 cm³

Volume of the new cube = (27 + 64 + 125) cm³

:.Volume of the new cube = 216 cm³

a³ = 216

a = ∛216

:. a = 6 cm

Thus , the side of the new cube is 6 cm in length.

I hope this answer helps you! Kindly reply back if there's any problem with this answer. Have a great day! :D

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