Exercise
https://texercises.com/exercise/heating-oil-tank/
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The following quantities appear in the problem: Länge \(\ell\) / Masse \(m\) / Volumen \(V\) / Höhe \(h\) / Dichte \(\varrho\) / Anzahl \(N\) / Breite \(b\) / Preis \(p\) / Spezifischer Preis \(\hat p\) /
The following formulas must be used to solve the exercise: \(\varrho = \dfrac{m}{V} \quad \) \(p = N \cdot \hat p \quad \) \(V = abc \quad \)
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Exercise:
What value in USD does the heating oil have in a completely filled cuboid-shaped tank with side lengths aO bO and cO? The density of the heating oil is rO and the price for lb of heating oil is USD. One pound is approximately g.

Solution:
Geg a aO a b bO b c cO c rho rO r hat p phO ph GesPricepsiUSD In the tank with the volume V abc a b c V there is m rho V rho abc r V m of heating oil. Thus the price of the heating oil is: p m hat p rho abc hat p m ph p % p rho abc hat p p
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Exercise:
What value in USD does the heating oil have in a completely filled cuboid-shaped tank with side lengths aO bO and cO? The density of the heating oil is rO and the price for lb of heating oil is USD. One pound is approximately g.

Solution:
Geg a aO a b bO b c cO c rho rO r hat p phO ph GesPricepsiUSD In the tank with the volume V abc a b c V there is m rho V rho abc r V m of heating oil. Thus the price of the heating oil is: p m hat p rho abc hat p m ph p % p rho abc hat p p
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Attributes & Decorations
Asked Quantity
Tags
dichte, heizöl, physik, preis, quader, tank
Difficulty
(3, default)
Points
3 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration
Content image