Question

The density of a certain type of plastic is 0.81 g/cm3. If a sheet of this plastic is 10.0 m long, 1.0 m wide, and 1 cm thick, what is its mass?

mass = _____ x 10_____g

g
Enter your answer in scientific notation.

Answer 1

Answer: The mass of plastic sheet is
`8.1* 10^4g`

Step-by-step explanation:

The plastic sheet is in the form of cuboid. To calculate the volume of cuboid, we use the equation:

`V=lbh`

where,

V = volume of cuboid

l = length of cuboid = 10.0 m = 1000 cm (Conversion factor: 1 m = 100 cm)

b = breadth of cuboid = 1.0 m = 100 cm

h = height of cuboid = 1 cm

Putting values in above equation, we get:

`V=1000* 100* 1=10^5cm^3`

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

`\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}`

We are given:

Density of plastic sheet =
`0.81g/cm^3`

Volume of plastic sheet =
`10^5cm^3`

Putting values in equation 1, we get:

`0.81g/cm^3=\frac{\text{Mass of plastic sheet}}{10^5cm^3}\\\\\text{Mass of plastic sheet}=8.1* 10^4g`

Hence, the mass of plastic sheet is
`8.1* 10^4g`