Math, asked by nishantpandey24, 1 year ago

three cubes of side 3 cm 4 cm and 5 cm are melted and a new cube is formed find the edge of the new cube

Answers

Answered by ADITYA1100
37
Given
We melt 3 cubes of side 3cm, 4cm, 5cm

Volume of cube =a³

After melt the cube the total volume we
=3³+4³+5³=27+64+125=216cm³

The sum of volume of all three cubes = volume of new cube

Sum of volume 216cm³

So volume of new cube =216cm³

Side =A

A³=216cm³
a = \sqrt[3]{216}a=3216​ 
A=6cm

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Answered by Anonymous
28
Volume of the new cube = volume of three cubes

(A)³ = a³+a³+a³
A³ = (3)³+(4)³+(5)³
A³ = 27+64+125
A³ = 216
=> A = 6 cm

Therefore, the edge of new cube is 6 cm.




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