Edges of the cuboid

Find the length of the edges of the cuboid, which has the following dimensions: width is 0.4 m; the height is 5.8 dm and the block can hold 81.2 liters of fluid.

Correct answer:

a =  4 dm
b =  5.8 dm
c =  3.5 dm

Step-by-step explanation:

$a=0.4\text{ m}\to \text{ dm}=0.4\cdot 10\text{ dm}=4\text{ dm}=4\text{ dm}$

$b=5.8=5.8\text{ dm}$

$$\begin{gathered} V=81.2\text{ l}\to {\text{dm}}^3=81.2\cdot 1{\text{dm}}^3=81.2{\text{dm}}^3 \\ V=abc \\ c={\displaystyle \frac{V}{a\cdot b}}={\displaystyle \frac{81.2}{4\cdot 5.8}}={\displaystyle \frac{7}{2}}\text{ dm}=3.5\text{ dm} \end{gathered}$$

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