Corresponding 68604

The prism with a square base has a volume of 200 liters, and the length of its base edge is a decimeter. Using the corresponding expression of the prism, write the height of the prism in decimetres.

Correct answer:

h = dm 200/a^2

Step-by-step explanation:

$$\begin{gathered} V=200\text{l}\to {\text{dm}}^3=200\cdot 1{\text{dm}}^3=200{\text{dm}}^3 \\ V=a^{2}h \\ h=\frac{V}{a^2} \\ h=200/a^2 \end{gathered}$$

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