Edges of the cuboid

Find the length of the edges of the cuboid, which has the following dimensions: width is 0.4 m; 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:

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

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

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

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