Question

Estimate the weight of honey that it would take to fill a bathtub. What factor is this heavier is this from water

Answer 1

Weight of honey required to fill bath tub is 435kg

Honey is 1.45 times heavier than water

Step-by-step explanation:

Rough volume of a bathtub is 300 litres

density of honey is 1.45 kg/L

Density of honey in bath tub is given by

`\rho = (mass)/(volume)` where, mass is the weight of honey in bath tub and volume is volume of bath tub

on substituting the given values in above equation we get

1.45 =
`(mass)/(300)`

⇒1.45 x 300 = mass of honey in bath tub or weight of honey

⇒ weight of honey required to fill bath tub is 435kg

density of water is 0.997 kg/L

therefore for the same amount of volume the ratio of weight of honey to water is equal to ratio of density of honey to water

∴
`(W_h)/(W_w) = (\rho_h)/(\rho_w)`

on substituting the value of densities we get

`(W_h)/(W_w) = (1.45)/(1)`

⇒ honey is 1.45 times heavier than water