Question

Object A has a mass of 12 g and a volume of 8 cm3. Object B has a mass of 20 g and a volume of 8 cm3. Which object has a greater density and by how much?

Object A, by 1 gram per cubic centimeter
Object A, by 8 grams per cubic centimeter
Object B, by 1 gram per cubic centimeter
Object B, by 8 grams per cubic centimeter

Answer 1

C. Object B, by 1 gram per cubic centimeter.

Explanation:

Density =
`(Mass)/(Volume)`

Volume x Density =
`(Mass)/(Volume)` x Volume (cross both of volumes out)

Volume x Density = Mass

So, what you would do is divide the Mass and Volume, and the density would be the outcome.

Since we see it has a mass of 12g and a volume of
`8 cm^(3)`

We would then do
`(12 g)/(8cm^(3))`, this gives us 1.5, and
`(20g)/(8cm^(3))` gives us 2.5, so that would give us the answer C.

Answer 2

Obj B, by 1 g/cm^3

Explanation:

Obj A = 12g / 8cm^3 = 3g / 2cm^3 = 1.5 g/cm^3

Obj B = 20g / 8cm^3 = 5g / 2cm^3 = 2.5 g/cm^3

2.5 - 1.5 = 1 g/cm^3