Question

Calculate the mass, in kilograms, of an object that occupies .253 dm3 and has a density of 4.14 g/cm3.

Answer 1

Answer:

1000

Step-by-step explanation:

Explanation:

Alright so we know the formula for density is

ρ

=

m

v

=> where

ρ

is the density with units of the derived components,

m

is the mass, and

v

is the volume.

We can rearrange this formula to get us the volume.

By doing so, we get

v

=

m

ρ

. I got to this conclusion by using the "Triangle Method" - a diagram that provides an understand to how simple equations (multiply and divide) relate to one another.

I noticed that the density of the object is

4.0

g

c

m

3

. That means that the derived components are the mass (in grams) and volume (in cubic centimetres).

Thus we have to convert the mass from

4

k

g

to grams. We can do this by multiplying the mass by

1000

. We get

4000

g

.

Now we can use the formula we rearranged and plug in the numbers to solve for the volume.

v

=

m

ρ

=

4000

4

=

1000

Therefore, the volume of the space that the object occupies is

1000

c

m

3

.

Hope this helps :)

Answer 2

Answer:

answer is 1000

Step-by-step explanation:

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