Question

A large emerald with a mass of 812.04 grams was recently discovered in a mine. If the density of the emerald is 2.76grams over centimeters cubed, what is the volume? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.

Answer 1

help plz

Answer 2

@phi @satellite73 @AravindG

Answer 3

@Compassionate @iambatman @thomaster

Answer 4

write down what you know
\[ 2.76 \frac{\text{g}}{\text{cc}} \]
812.04 g

notice if we multiply by a factor K that has units cc/g
we would have
\[ 812.04\ \cancel{g} \cdot K \frac{cc}{\cancel{g}} = K\cdot 812.04\]

Answer 5

* \(K \cdot 812.04 \) cc

so you need to find a factor that has units of cc/g that you can multiply by.

any idea what that factor is ?

Answer 6

@phi my internet cut sorry

Answer 7

@phi 2.76

Answer 8

first, in these kinds of problem *always* include the units

we know 2.76 g/cc

but we want cc/g

any ideas what to do ?

Answer 9

Uh so maybe 812.04?

Answer 10

812.04 g

we want cc/g

Answer 11

sorry bit lost

Answer 12

notice this
\[ \frac{1}{2.76 \frac{g}{cc} }\]
if we multiply top and bottom by cc we get
\[ \frac{1\cdot cc}{2.76 \frac{g}{\cancel{cc}} \cdot \cancel{cc}} = \frac{1}{2.76} \frac{cc}{g} \]

Answer 13

@ganeshie8

Answer 14

@ganeshie8 my internet keeps turning off so pls dont leave if i disconect

Answer 15

ill reconect ASAP