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

Md Ariful Islam

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Md Ariful Islam

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The ($ρ$) 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.

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

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

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