Question

A waterbed mattress has the following dimensions: 210 cm X 160 cm X 25 cm. The density of water is 62.4lb/ft3. What is the weight of the bed in pounds?

Answer 1

Answer: The weight of water bed in pounds is 1850.16 lb

Explanation:

To calculate the volume of cuboid, we use the equation:

$V=lbh$

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:

$V=210\times 160\times 25=8.4\times 10^5cm^3=29.65ft^3$      (Conversion factor:  $1cm^3=3.53\times 10^{-5}ft^3$ )

To calculate the mass of waterbed, we use the equation:

$\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}$

Density of waterbed = $62.4lb/ft^3$

Volume of waterbed = $29.65ft^3$

Putting values in above equation, we get:

$62.4lb/ft^3=\frac{\text{Mass of waterbed}}{29.65ft^3}\\\\\text{Mass of waterbed}=(62.4lb/ft^3\times 29.65ft^3)=1850.16lb$

Hence, the weight of water bed in pounds is 1850.16 lb