Question

formulas for density, mass and volume: the triangle of mass, density and volume allows for you to solve for any one of these
density = mass/volume
mass = density x volume
volume = mass/density
d = m/v
m = d x v
v = m/d
density of water = 1 g/cm³ if an objects density < 1 g/cm³, it will float if an objects density > 1 g/cm³, it will sink
fill in the blanks with the proper formula and then its proper number. place an x in the column if the substance will float or sink in water. give proper units for each answer (g, cm³, g/cm³). round answers to the tenths place.

formula	mass	volume	density	sink?	float?
	16 g	0.2 g/cm³
	5 cm³	20 g/cm³

Explanation:

Step1: Calcular densidad para la primera fila

Usando la fórmula $D=\frac{m}{v}$, donde $m = 12\ g$ y $v=0.5\ cm^{3}$, entonces $D=\frac{12}{0.5}=24\ g/cm^{3}$.

Step2: Determinar si flota o se hunde

Como $24\ g/cm^{3}>1\ g/cm^{3}$, se hunde.

Step3: Calcular masa para la segunda fila

Usando la fórmula $m = D\times v$, donde $D = 0.2\ g/cm^{3}$ y $v = 5\ cm^{3}$, entonces $m=0.2\times5 = 1\ g$.

Step4: Determinar si flota o se hunde

Como $0.2\ g/cm^{3}<1\ g/cm^{3}$, flota.

Step5: Calcular volumen para la tercera fila

Usando la fórmula $v=\frac{m}{D}$, donde $m = 16\ g$ y $D = 20\ g/cm^{3}$, entonces $v=\frac{16}{20}=0.8\ cm^{3}$.

Step6: Determinar si flota o se hunde

Como $20\ g/cm^{3}>1\ g/cm^{3}$, se hunde.

Answer:

Formula	Mass	Volume	Density	Sink?	Float?
$m = D\times v$	$1\ g$	$5\ cm^{3}$	$0.2\ g/cm^{3}$		X
$v=\frac{m}{D}$	$16\ g$	$0.8\ cm^{3}$	$20\ g/cm^{3}$	X