Question

a water tank is built in the form of a right rectangular prism, with dimensions that measure 19.3 ft by 15.2 ft by 12.4 ft. how many cubic feet of water would it hold when it is full? round your answer to the nearest tenth if necessary.

Explanation:

Step1: Recall the volume formula for a rectangular prism

The volume \( V \) of a rectangular prism is given by \( V = l\times w\times h \), where \( l \) is the length, \( w \) is the width, and \( h \) is the height.

Step2: Substitute the given values into the formula

Here, \( l = 19.3\) ft, \( w = 15.2\) ft, and \( h = 12.4\) ft. So, \( V=19.3\times15.2\times12.4\).
First, calculate \( 19.3\times15.2\):
\(19.3\times15.2=(20 - 0.7)\times15.2=20\times15.2-0.7\times15.2=304 - 10.64 = 293.36\).
Then, multiply the result by \( 12.4\):
\(V = 293.36\times12.4=(300 - 6.64)\times12.4=300\times12.4-6.64\times12.4\)
\(=3720-82.336 = 3637.664\).

Answer:

\(3637.7\) cubic feet.