Question

6 formula 1 point
a block of unknown metal occupies a volume of 27.59 ml and weighs 157.9 g. what is its density? express your answer with 2 decimal places.
answer

7 formula 1 point
what is the mass of an unknown object whose volume is 8.9 ml and density is 7.4 g/ml? express your answer with 1 decimal place.
answer

8 formula 1 point
what is the volume of an object with a mass of 50.68 g and a density of 7.6 g/ml? express your answer with 2 decimal places.
answer

Explanation:

Question 6

Step1: Recall density formula

Density formula is $
ho = \frac{m}{V}$, where $m$ is mass and $V$ is volume.

Step2: Substitute values

Given $m = 157.9\ g$, $V = 27.59\ mL$. So $
ho=\frac{157.9}{27.59}$.

Step3: Calculate and round

$\frac{157.9}{27.59}\approx5.72\ g/mL$.

Step1: Recall mass formula from density

From $
ho=\frac{m}{V}$, we get $m=
ho\times V$.

Step2: Substitute values

Given $
ho = 7.4\ g/mL$, $V = 8.9\ mL$. So $m = 7.4\times8.9$.

Step3: Calculate and round

$7.4\times8.9 = 65.86\approx65.9\ g$.

Step1: Recall volume formula from density

From $
ho=\frac{m}{V}$, we get $V=\frac{m}{
ho}$.

Step2: Substitute values

Given $m = 50.68\ g$, $
ho = 7.6\ g/mL$. So $V=\frac{50.68}{7.6}$.

Step3: Calculate and round

$\frac{50.68}{7.6}=6.6684\approx6.67\ mL$.

Answer:

$5.72\ g/mL$

Question 7