a stack of 500 sheets of paper measuring 28 cm x 21 cm is 44.5 mm high and has a mass of 2090 g. what is the density of the paper in grams per cubic cm?

Respuesta :


44.5*10^-3/1*10-2
44.5 mm = 4.45 cm
28*21*4.45= 2616.6 cm^3 =V
D=m/v
2090g/ 2616.6cm^3 = D
D= .798746 = .7987g/cm^3

Answer: The density of stack is [tex]0.08g/cm^3[/tex]

Explanation:

To calculate the volume of cuboid, we use the equation:

[tex]V=lbh[/tex]

where,

V = volume of cuboid

l = length of cuboid = 28 c

b = breadth of cuboid = 21 cm

h = height of cuboid = 44.5 cm

Putting values in above equation, we get:

[tex]V=28\times 21\times 44.5=26166cm^3[/tex]

To calculate density of a substance, we use the equation:

[tex]\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}[/tex]

We are given:

Mass of stack = 2090 g

Volume of stack = [tex]26166cm^3[/tex]

Putting values in above equation, we get:

[tex]\text{Density of stack}=\frac{2090g}{26166cm^3}\\\\\text{Density of stack}=0.08g/cm^3[/tex]

Hence, the density of stack is [tex]0.08g/cm^3[/tex]