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 is a point indicating the water level, find the height and volume of the liquid in the container.
$\dfrac{h_w}{BC} = \dfrac{24}
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