A Rectangular Tank Has Width $3 \mathrm { ft }$ , Height

question 39

Multiple Choice

A rectangular tank has width $3 \mathrm { ft }$ , height $2 \mathrm { ft }$ , and length $7 \mathrm { ft }$ . It is filled with equal volumes of water and oil. The oil has a weight density of $50 \mathrm { lb } / \mathrm { ft } ^ { 3 }$ and floats on the water. Find the force exerted by the mixture on one end of the tank. (The weight density of water is $62.4 \mathrm { lb } / \mathrm { ft } ^ { 3 }$ .)

• A) \(319 \mathrm { lb }\)
• B) \(356 \mathrm { lb }\)
• C) \(337 \mathrm { lb }\)
• D) \(169 \mathrm { lb }\)

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Definitions:

Standard Deviation

A metric that quantifies the degree to which values in a collection vary from the average value of the group.

IQR

The interquartile range, a measure of statistical variability between the 25th and 75th percentiles.

Range

The difference between the highest and lowest values in a dataset, providing a measure of the data's dispersion.

Standard Deviation

An indicator calculating the spread of data around the mean, achieved by the square root of the variance.