Surface and volume

Find the surface and volume of a cuboid whose dimensions are 1 m, 50 cm, and 6 dm.

Correct answer:

V =  0.3 m³
S =  2.8 m²

Step-by-step explanation:

$$\begin{gathered} a=1\text{ m } \\ b=50\text{ cm}\to \text{ m}=50\mathrm{/}100\text{ m}=0.5\text{ m } \\ c=6\text{ dm}\to \text{ m}=6\mathrm{/}10\text{ m}=0.6\text{ m } \\ V=a\cdot b\cdot c=1\cdot 0.5\cdot 0.6={\displaystyle \frac{3}{10}}={\displaystyle \frac{3}{10}}{\text{m}}^3=0.3{\text{m}}^3 \end{gathered}$$

$S=2\cdot (a\cdot b+b\cdot c+c\cdot a)=2\cdot (1\cdot 0.5+0.5\cdot 0.6+0.6\cdot 1)={\displaystyle \frac{14}{5}}={\displaystyle \frac{14}{5}}{\text{m}}^2=2.8{\text{m}}^2$

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