Question

PLSSS HELP ILL GUVE BRAINIEST


8. An object A has a mass of 12 g and a volume 10 cm3. Object B
has a mass of 12 g and a volume of 8 cm3. Which object has a
greater density?

Answer 1

Answer:

$\boxed {\tt Object \ B: 1.5 \ g/cm^3}$

Explanation:

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

$d=\frac{m}{v}$

Object A

The mass is 12 grams and the volume is 10 cubic centimeters.

$m= 12 \ g\\v= 10 \ cm^3$

Substitute the values into the formula.

$d=\frac{12 \ g}{10 \ cm^3}$

Divide.

$d=1.2 \ g/cm^3$

Object B

The mass is 12 grams and the volume is 8 cubic centimeters.

$m= 12 \ g \\v= 8 \ cm^3$

Substitute the values into the formula.

$d=\frac{12 \ g}{8 \ cm^3}$

Divide.

$d= 1.5 \ g/cm^3$

1.5 grams per cubic centimeter is greater than 1.2 grams per cubic centimeter, so Object B has a greater density.

Answer 2

As we know:

$density = \dfrac{mass}{volume}$

ie Density is inversely proportional to volume

So The second object has more density.

Let's check to prove this statement.

part 1:

$density = \dfrac{12 \: g}{10 \: c {m}^{3} }$

$1.2g {cm}^{ - 3}✓$

part 2:

$density = \dfrac{12 \: g}{8 \: {cm}^{3} }$

$density = 1.5g {cm}^{ - 3✓}$

.°. 1.5>1.2

hence part 2 has greater density:)