Question

You are on the Titanic and want to find something that will float because you didn't

get on one of the few lifeboats. You grab a large pillow. Measuring it, you find it to
be 55 cm wide, 78 cm long, 25 cm thick, and 5.50 kg. Will the pillow float?

Answer 1

Find volume of pillow

L=78cm

B=55cm

H=25cm

`\\ \bull\tt\longrightarrow V=LBH`

`\\ \bull\tt\longrightarrow V=25(78)(55)`

`\\ \bull\tt\longrightarrow V=107250cm^3`

`\\ \bull\tt\longrightarrow V=10.72m^3`

Now

Mass=5.5kg

`\\ \bull\tt\longrightarrow Density=(Mass)/(Volume)`

`\\ \bull\tt\longrightarrow Density=(5.5)/(10.72)`

`\\ \bull\tt\longrightarrow Density=0.5kg/m^3`

Density of water=1000kg/m^3

As it is less than density of water it will float on water