Prism height

The volume of the triangular prism is 200 dm³, and the base is a triangle with a side of 10 dm and a corresponding height of 5 dm. Calculate the height of the prism.

Final Answer:

v =  8 dm

Step-by-step explanation:

$$\begin{gathered} V=200{\text{dm}}^3 \\ a=10\text{dm} \\ {v}_1=5\text{dm} \\ S=\frac{a\cdot v_1}{2}=\frac{10\cdot 5}{2}=25{\text{cm}}^2 \\ V=S\cdot v \\ v=V/S=200/25=8\text{dm} \end{gathered}$$

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