Melting 3 cubes

The sides of the three metal cubes are 30 cm, 40 cm, and 50 cm, respectively. Find the side of the new cube formed by melting these cubes together.

Final Answer:

x =  60 cm

Step-by-step explanation:

$$\begin{gathered} a=30\text{cm} \\ b=40\text{cm} \\ c=50\text{cm} \\ {V}_1=a^3=30^3=27000{\text{cm}}^3 \\ {V}_2=b^3=40^3=64000{\text{cm}}^3 \\ {V}_3=c^3=50^3=125000{\text{cm}}^3 \\ V=V_1+V_2+V_3=27000+64000+125000=216000{\text{cm}}^3 \\ V=x^3 \\ x=\sqrt[3]{V}=\sqrt[3]{216000}=60\text{cm} \end{gathered}$$

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