Question

Question #9b1a4

Answer 1

`500,000,000g=500,000kg`

Explanation:

You have to multiply. The density equation is

`rho=m/V`

Solving for `m`, we find that

`m=rho*V`

So, we can clearly see that we have to multiply.

`:.m=0.5g"/"cancel(m^3)*1,000,000,000cancel(m^3)=500,000,000g`

I converted my answer to `kg` since the number for `g` is too big.

`:.500,000,000g=500,000kg`

So, the cloud's mass will be `500,000kg`.

Answer 2

`"Mass" = 5 * 10^8 "g"`

Explanation:

First let's look at the Density Formula:

`"Density" = "Mass"/"Volume"`

We are given two of these variables so therefore we can figure out the third variable. Let's input the variables we know:

`(0.5"g")/(1"m"^3) = "Mass"/(10^9"m"^3)`

Solve for Mass by multiplying by `10^9` on both sides:

`(10^9"m"^3 * 0.5 "g")/ (1"m"^3) = "Mass"`

The cubic meters cancel out:

`10^9 * 0.5 "g" = "Mass"`

Multiply:

`"Mass" = 500,000,000"g"` or `500,000 "kg"`

Side Note:

For numbers greater than 10,000 it is recommend that they are written in Scientific Notation.

So the answer can be written as `5 * 10^8 "g"`