Question

3 metal cubes are melted to form a single cube, if edges of each cubes are 3cm, 4cm, 5cm respectively find a single cube's edge

Answer 1

hey
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volume of all three metal cubes = volume of new melted recasted cube

(3)^3 + (4)^3+(5)^3 = a^3
27+64+125 = (a)^3
216=(a)^3
a = √6×6×6
a= 6cm

edge of single cube =6 cm

hope helped
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Answer 2

⇒Firstly the total volume of Cubes

$\bf\huge(3)^{3} + (4)^{3} + (5)^{3}$

= 27 + 64 + 125

= $\bf\huge 216\: cm^{3}$

⇒Volume of the new formed cube

= $\bf\huge 216\: cm^{3}$

⇒ Edge of new cube

= $\bf\huge\sqrt{216}$

= 6 cm