Three cubes

The body was created by gluing three identical cubes. Its volume is 192 cm³. What is its surface in dm²?

Correct answer:

S =  2.24 dm²

Step-by-step explanation:

$$\begin{gathered} V=192{\text{cm}}_3 \\ {V}_1=V\mathrm{/}3=192\mathrm{/}3=64{\text{cm}}^3 \\ a=\sqrt[3]{V_1}=\sqrt[3]{64}=4\text{ cm } \\ {a}_2=a\mathrm{/}10=4\mathrm{/}10={\displaystyle \frac{2}{5}}=0.4\text{ dm } \\ {S}_1=a_2^2=0.4^2={\displaystyle \frac{4}{25}}=0.16{\text{dm}}^2 \\ S=3\cdot 6\cdot S_1-4\cdot S_1=3\cdot 6\cdot 0.16-4\cdot 0.16=2.24{\text{dm}}^2 \end{gathered}$$

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