Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the density of an object depends on mass and volume. if there are two c…

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

Explanation:

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.

Answer:

the one with the greatest mass