Perpendicular 21433

Calculate the height of the vertical prism with the rectangle's base if the dimensions of the edges of the floor are a = 12 dm, b = 50 mm, and the prism's volume V = 0.6 l.

Correct answer:

h =  1 cm

Step-by-step explanation:

$$\begin{gathered} a=12\text{dm}\to \text{cm}=12\cdot 10\text{cm}=120\text{cm} \\ b=50\text{mm}\to \text{cm}=50:10\text{cm}=5\text{cm} \\ V=0.6\text{l}\to {\text{cm}}^3=0.6\cdot 1000{\text{cm}}^3=600{\text{cm}}^3 \\ S=a\cdot b=120\cdot 5=600{\text{cm}}^2 \\ V=Sh \\ h=V/S=600/600=1\text{cm} \end{gathered}$$

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