A square block of steel with volume 10 cm3 and mass of 75 g is cut precisely in half. The density of the two smaller pieces is now...
A.
two times the original density.
B.
the same as the original density.
C.
one-fourth the original density.
D.
one-half the original density.

Respuesta :

The density of the two smaller pieces is now : B.  the same as the original density.

Further explanation  

Density is a quantity derived from the mass and volume  

Density is the ratio of mass per unit volume  

With the same mass, the volume of objects that have a high density will be smaller than objects with a smaller type of density  

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

Density formula:  

[tex]\large {\boxed {\bold {\rho ~ = ~ \frac {m} {V}}}}[/tex]

ρ = density  

m = mass  

v = volume  

Volume 10 cm³ and mass of 75 g,

V=10 cm³

m=75 g

the density :

[tex]\tt \rho=\dfrac{75}{10}=7.5~cm^3[/tex]

when cut in half⇒  cutting both the mass and volume in half too

[tex]\tt \rho=\dfrac{75/2}{10/2}=7.5~g/cm^3[/tex]