Answer: The weight of water bed in pounds is 1850.16 lb
Explanation:
To calculate the volume of cuboid, we use the equation:
[tex]V=lbh[/tex]
where,
V = volume of cuboid
l = length of cuboid = 210 cm
b = breadth of cuboid = 160 cm
h = height of cuboid = 25 cm
Putting values in above equation, we get:
[tex]V=210\times 160\times 25=8.4\times 10^5cm^3=29.65ft^3[/tex] (Conversion factor: [tex]1cm^3=3.53\times 10^{-5}ft^3[/tex] )
To calculate the mass of waterbed, we use the equation:
[tex]\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}[/tex]
Density of waterbed = [tex]62.4lb/ft^3[/tex]
Volume of waterbed = [tex]29.65ft^3[/tex]
Putting values in above equation, we get:
[tex]62.4lb/ft^3=\frac{\text{Mass of waterbed}}{29.65ft^3}\\\\\text{Mass of waterbed}=(62.4lb/ft^3\times 29.65ft^3)=1850.16lb[/tex]
Hence, the weight of water bed in pounds is 1850.16 lb
