Question

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Question 7 Multiple Choice Worth 4 points)
(01.03 MC)

Object A has a density of 10 g/cm and a mass of 9 g. Object B has a density of 10 g/cm. and a mass of 4 g. Which object has a greater volume and by how
much?

Object A by 5 cubic centimeters

Object A, by 0.5 cubic centimeter

Object B, by 5 cubic centimeters

Object B, by 0.5 cubic centimeter

Answer 1

Answer: Object A, by 0.5 cubic centimeter

Explanation:

`Volume=(Mass)/(density)`

Hence volume of object A =
`\frac{\text {Mass of object A}}{\text {density of object A}}=(9g)/(10g/cm^3)=0.9cm^3`

similarly, volume of object B =
`\frac{\text {Mass of object B}}{\text {density of object B}}=(4g)/(10g/cm^3)=0.4cm^3`

Hence from above : volume of A > volume of B

Difference in volume =
`(0.9 - 0.4)cm^3=0.5 cm^3`

Hence the correct option is Object A has greater volume and by 0.5 cubic centimeter

Answer 2

A by 0,5 cubic centimeters

Step-by-step explanation:

If you use the density equation:

`d=(mass)/(volume)`→
`v=(m)/(d)`

For A:

`v=(9[g])/(10g/cm^3) =0,9[cm^3]`

For B:

`v=(4[g])/(10g/cm^3) =0,4[cm^3]`

Doing the difference A-B=0,5 cubic centimeter