Rectangular swimming pool geometry problem

**Zachary123** · June 6th 2011, 08:49 PM

An oil spill causes 4.9 million barrels of crude oil to spill
One barrel of crude oil is equivalent to 42 gallons. If a gallon occupies .13368 cubic feet of volume, how many rectangular swimming pools (to the nearest whole pool), each 20 ft. by 30 ft. by 5 ft. could be filled with all the oil?

**earboth** · June 6th 2011, 09:07 PM

Originally Posted by Zachary123

An oil spill causes 4.9 million barrels of crude oil to spill
One barrel of crude oil is equivalent to 42 gallons. If a gallon occupies .13368 cubic feet of volume, how many rectangular swimming pools (to the nearest whole pool), each 20 ft. by 30 ft. by 5 ft. could be filled with all the oil?

1. You have to determine 2 volumes: The volume of the spilled oil in cubic feet $\left(V_o\right)$ and the volume of one swimming pool in cubic feet $\left(V_p\right)$ . Afterwards calculate the quotient $n=\lceil \dfrac{V_o}{V_p} \rceil$

2. Here is the order of calculations to get $V_o$ :

$4.9 \cdot 10^6\ barrels \longrightarrow x \ gallons$

$x\ gallons \longrightarrow y\ cft$

3. Here is the order of calculations to get $V_p$ :

$V_p = length \cdot width \cdot depth$ The dimension of $V_p$ is already in cft.

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