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

Step-by-step 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* 160* 25=8.4* 10^5cm^3=29.65ft^3` (Conversion factor:
`1cm^3=3.53* 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* 29.65ft^3)=1850.16lb`

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