Cube-shaped crates

A shipment of 2560 cubic dm of dried Secret arrived in eight identical cube-shaped crates. What is the height of one crate if it has a square base with an edge length of 8 dm and each crate is filled to the brim?

Final Answer:

c =  5 dm

Step-by-step explanation:

$$\begin{gathered} V=2560{\text{dm}}^3 \\ n=8 \\ a=8\text{dm} \\ {V}_1=V/n=2560/8=320{\text{dm}}^3 \\ {V}_1=a^2\cdot c \\ c=\frac{V_1}{a^2}=\frac{320}{8^2}=5\text{dm} \end{gathered}$$

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