Solution :
Given, A King Size waterbed has the following dimensions 72 in. x 84 in. x 9.5in. It takes 240.7 gallons of water to fill it, which would weigh 2071 pounds.
Volume of the King Size Waterbed, V = length X width X height
[tex]V= 72\:inch\times84\:inch\times9.5\:inch \\\\V=57456\:cubic\: inch[/tex]
We know that,
[tex]1 \:cubic\:inch=\frac{1}{1728} \:cubic\:foot\\\\ \Rightarrow57456 \:cubic\:inch=\frac{1}{1728} \times57456= 33.25\: cubic\:feet[/tex]
Weight of 33.25 cubic foot water = 2071 pounds
Weight of water in 1 cubic foot water = [tex]=\frac{2071}{33.25} =62.29\:pounds\:per\:cubic\:foot[/tex]
Hence, Water weighs 62.29 pounds per cubic foot.
