Im not sure how to convert these because of the cm cubed

heres the question:

An aluminum engine block has a volume of 4.88 L and a mass of 12.60 kg. What is the density of the aluminum in grams per cubic centimeter?

so its gonna be something g/cm3

can you tell me what it is and how you go it

1 litre of water occupies 1000cc.

So 4880 cc of aluminium weighs 12600 g.
Can you take it from here?

metric is sooo easy.

there are 1000g in 1 kg, and 1000 cm^3 in 1 L

so 12.60 kg/4.88 L
= 12600/4880 g/cm^3
= 315/122 g/cm^3

so would it be 12600/4880?

so. 2.582

i have no idea if i did that wrong.

oh

= 12600/4880 g/cm^3

so how did u get from that to = 315/122 g/cm^3 ?

wait shouldn't it just be one number for the answer?

12600/4880

reduced to lowest terms is 315/122
or 2.582

315/122 is one number.

ok! i get it thanks:)

I don' know ask google

To find the density of the aluminum in grams per cubic centimeter (g/cm^3), you need to use the formula:

Density = Mass / Volume

Given that the mass of the aluminum engine block is 12.60 kg and the volume is 4.88 L, we need to convert the units to be consistent.

1. Convert the volume from liters (L) to cubic centimeters (cm^3). Since 1 L is equal to 1000 cm^3, we can multiply the given volume by 1000:

4.88 L x 1000 cm^3/L = 4880 cm^3

So the volume of the aluminum engine block is 4880 cm^3.

2. Now, substitute the known values into the density formula:

Density = Mass / Volume
Density = 12.60 kg / 4880 cm^3

3. Convert the mass from kilograms (kg) to grams (g). Since 1 kg is equal to 1000 g, we can multiply the given mass by 1000:

12.60 kg x 1000 g/kg = 12600 g

So the mass of the aluminum engine block is 12600 g.

4. Now, substitute the converted values into the formula:

Density = 12600 g / 4880 cm^3

5. Calculate the density by dividing the mass by the volume:

Density = 2.58 g/cm^3

Therefore, the density of the aluminum in this case is 2.58 g/cm^3.