Question

What is the density of a sample of a liquid, given that 2.00 feet cubed of the liquid weighs 97.5 pounds?

Answer 1

The density (#ρ#) of anything is its mass (#m#) divided by its volume (#V#).

#color(blue)(bar(ul(|color(white)(a/a)ρ = m/Vcolor(white)(a/a)|)))" "#

The volume of a cube is

#color(blue)(bar(ul(|color(white)(a/a)V = l^3color(white)(a/a)|)))" "#

where #l# is the length of an edge.

#V = l^3 = ("2.00 ft")^3 = "8.00 ft"^3#

∴ #ρ = m/V = "97.5 lb"/("8.00 ft"^3) = "12.2 lb/ft"^3#