Question

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. What is the weight of a cubic foot of water?

Answer 1

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

$V= 72\:inch\times84\:inch\times9.5\:inch \\\\V=57456\:cubic\: inch$

We know that,

$1 \:cubic\:inch=\frac{1}{1728} \:cubic\:foot\\\\ \Rightarrow57456 \:cubic\:inch=\frac{1}{1728} \times57456= 33.25\: cubic\:feet$

Weight of  33.25 cubic foot water = 2071 pounds

Weight of  water in 1 cubic foot water = $=\frac{2071}{33.25} =62.29\:pounds\:per\:cubic\:foot$

Hence, Water weighs 62.29 pounds per cubic foot.

Answer 2

One cubic foot weighs approximately 27.743 pounds