Cuboid box

How many m² paper is needed for the sticking cuboid box of dimensions 50 cm, 40 cm and 30 cm? To the folds add one-tenth the area.

Correct answer:

x =  1.034 m²

Step-by-step explanation:

$$\begin{gathered} q=1+1\mathrm{/}10={\displaystyle \frac{11}{10}}=1.1 \\ a=50\text{ cm}\to \text{ m}=50\mathrm{/}100\text{ m}=0.5\text{ m } \\ b=40\text{ cm}\to \text{ m}=40\mathrm{/}100\text{ m}=0.4\text{ m } \\ c=30\text{ cm}\to \text{ m}=30\mathrm{/}100\text{ m}=0.3\text{ m } \\ S=2\cdot (a\cdot b+b\cdot c+c\cdot a)=2\cdot (0.5\cdot 0.4+0.4\cdot 0.3+0.3\cdot 0.5)={\displaystyle \frac{47}{50}}=0.94{\text{m}}^2 \\ x=q\cdot S=1.1\cdot 0.94={\displaystyle \frac{517}{500}}{\text{m}}^2=1.034{\text{m}}^2 \end{gathered}$$

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