Question

1. what is the mass of a cube of brass that is 634 mm on each edge? the density of brass is 8.73g/cm³.
2. make the following conversions. express your answers in scientific notation.

a. 15.6 g =? μg
d. 3.7x10⁻⁵ gal =? mgal
b. 3.72 x 10⁴ gg =? pg
e. 4.7x10⁻⁷ pl =? cl
c. 4.56 kl =? nl
f. 6.87 x 10⁸ nl =? μl

1. earth is approximately 8.87 x 10⁸ miles from saturn. how many hours does it take light to travel from the saturn to earth? the speed of light is 3.0 x10⁸ m/s. 1 mile = 1.61 km

? hr = 8.87x10⁸mi 1.61 km 10³m 1 sec 1 min hr
1 mile 1 km 60 sec 60min

1. it is 1024 miles from palma school to the lodge at yellowstone park if you take hwy 80, how many nano seconds would it take to get there if you drove at 75 miles per hour?
2. how many ml of fe are in 4.92 lb of fe? the density of fe is 7.847 g/ml. 454 g = 1lb

Explanation:

Step1: Convert edge - length of cube to cm

The edge - length of the cube $a = 634\ mm=63.4\ cm$ (since $1\ cm = 10\ mm$).

Step2: Calculate the volume of the cube

The volume of a cube $V=a^{3}$. So $V=(63.4)^{3}=63.4\times63.4\times63.4 = 254697.864\ cm^{3}$.

Step3: Calculate the mass of the cube using density formula

The density formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass and $V$ is volume. Rearranging for $m$ gives $m =
ho V$. Given $
ho = 8.73\ g/cm^{3}$ and $V = 254697.864\ cm^{3}$, then $m=8.73\times254697.864 = 2223512.353\ g\approx2.22\times 10^{6}\ g$.

for 6a:

Step1: Use the conversion factor

We know that $1\ g=10^{6}\ \mu g$. So to convert $15.6\ g$ to $\mu g$, we multiply by the conversion factor. $15.6\ g\times10^{6}\ \mu g/g = 1.56\times 10^{7}\ \mu g$.

for 6b:

Step1: Use the conversion factors

$1\ Gg = 10^{9}\ g$ and $1\ g=10^{12}\ pg$. So $3.72\times 10^{4}\ Gg=3.72\times 10^{4}\times10^{9}\ g=3.72\times 10^{13}\ g$. Then $3.72\times 10^{13}\ g\times10^{12}\ pg/g=3.72\times 10^{25}\ pg$.

for 6c:

Step1: Use the conversion factors

$1\ kL = 10^{3}\ L$ and $1\ L = 10^{9}\ nL$. So $4.56\ kL=4.56\times 10^{3}\ L$. Then $4.56\times 10^{3}\ L\times10^{9}\ nL/L = 4.56\times 10^{12}\ nL$.

Answer:

$2.22\times 10^{6}\ g$