Question

1. if a substance has a density of 2700 kg/m³ and a volume of 200 m³, what is its mass?

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a:

1. a puppy’s rubber ball has a density of 1.20 g/ml. if the mass of the ball is 458 g, find its volume.

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Explanation:

Problem 3

Step1: Recall density formula

The formula for density ($
ho$) is $
ho = \frac{m}{V}$, where $m$ is mass and $V$ is volume. We need to find mass, so rearrange the formula to $m=
ho\times V$.

Step2: Identify given values

Given $
ho = 2700\space kg/m^3$ and $V = 200\space m^3$.

Step3: Substitute values into formula

Substitute $
ho$ and $V$ into $m=
ho\times V$: $m = 2700\space kg/m^3\times200\space m^3$.

Step4: Calculate the mass

$2700\times200 = 540000\space kg$.

Step1: Recall density formula

The formula for density ($
ho$) is $
ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume. We need to find volume, so rearrange the formula to $V = \frac{m}{
ho}$.

Step2: Identify given values

Given $
ho = 1.20\space g/mL$ and $m = 458\space g$.

Step3: Substitute values into formula

Substitute $m$ and $
ho$ into $V=\frac{m}{
ho}$: $V=\frac{458\space g}{1.20\space g/mL}$.

Step4: Calculate the volume

$\frac{458}{1.20}\approx381.67\space mL$.

Answer:

The mass of the substance is $540000\space kg$.

Problem 4