Question

A block of cheese has a volume of 187 cm3 and a mass of 140 g.

What is the density of the cheese in g/cm3 rounded to 2 decimal places?

Answer 1

0.75 g/cm^3 to 2 decimal places.

Explanation:

Density = mass / volume

= 140 / 182

= 0.7487 g/cm^3

hope this helped

Answer 2

`\boxed {\boxed {\sf d \approx 0.75 \ g/cm^3}}`

Explanation:

Density can be found by dividing the mass by the volume.

`d=(m)/(v)`

The mass of the block of cheese is 140 grams and the volume is 187 cubic centimeters.

`m= 140 \ g \\v= 187 \ cm^3`

Substitute the values into the formula.

`d=(140 \ g)/(187 \ cm^3)`

Divide.

`d=0.748663102 \ g/cm^3`

Round to the hundredth place (2 decimal places).

The 8 in the thousandth place tells us to round the 4 to a 5.

`d \approx 0.75 \ g/cm^3`

The density is about 0.75 grams per cubic centimeters.