Object A has a mass of 300g and a density of 3 g/cm3. Object B has a mass of 450 g and a density of 45 g/cm3. Which of the following statements is/are true?
a. Object A has bigger volume than object
b. b. Object B will displace more water than object
a.
c. Object B has bigger volume than object
a.
d. Both b and c

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Answered

Sagot :

Indrawboyid Indrawboyid · Answer 1

This statement is true :

A. Object A has bigger volume than object B

Density is a quantity derived from the mass and volume

Density is the ratio of mass per unit volume

The unit of density can be expressed in g/cm³ or kg/m³

Density formula:

[tex]\rm \boxed{\bold{\rho=\dfrac{m}{V}}}[/tex]

ρ = density

m = mass

V = volume

Object A has a mass of 300 g and a density of 3 g/cm³

volume of the object A :

[tex]\rm V_A=\dfrac{m}{\rho}\\\\V_A=\dfrac{300}{3}\\\\V_A=100~cm^3[/tex]

Object B has a mass of 450 g and a density of 45 g/cm3.

[tex]\rm V_B=\dfrac{m}{\rho}\\\\V_B=\dfrac{450}{45}\\\\V_B=10~cm^3[/tex]

And the volume of the water displaced is equal to the volume of the object, so Object A will displace more water than object B

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