QUESTION IMAGE
Question
the density of an object depends on mass and volume. if there are two cubes that are exactly the same volume, which cube will have the highest density? the one that is the lightest the one with the greatest mass the one with the least mass their densities will be equal
Step1: Recall the density formula
The formula for density is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass, and $V$ is volume.
Step2: Analyze the effect of mass on density when volume is constant
Given that $V$ is the same (exactly the same volume for the two cubes). If we consider two cubes, from the formula $
ho=\frac{m}{V}$, when $V$ is a non - zero constant ($V = k$, $k
eq0$), then $
ho$ is directly proportional to $m$ ($
ho=\frac{1}{k}m$). So, as the mass $m$ increases, the density $
ho$ increases.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
the one with the greatest mass