Rectangular

A rectangular container, with a height of 24 in., contains 44.9 gal of water when it is full. A stick is placed diagonally from one corner of the upper base as shown. If BC = 10in., AC= 25in. and webcam-toy-photo1.jpg is a point indicating the water level, find the height and volume of the liquid in the container.

hwBC=24AC

hw10=2425

hw=9.6 in.
 

When full
V=Ab×h

44.9 gal(231 in.31 gal)=Ab×24

Ab=432.1625 in.2
 

Volume of water
Vw=Ab×hw

Vw=432.1625×9.6

Vw=4148.76 in.3

Vw=4148.76 in.3(1 gal231 in.3)

Vw=17.96 gal