Write a formula showing the dependence of the mass of a piece of cork on its volume, if the density of cork is 0.18g/cm3. Using the formula, find the mass of a piece of cork with a volume of 240 cm3

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Answer:

43.2 grams.

Step-by-step explanation:

We are asked to write a formula showing the dependence of the mass of a piece of cork on its volume.

We will use density formula to solve our given problem.

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

[tex]\text{Density}\times {\text{Volume}}=\text{Mass}[/tex]

[tex]\text{Mass}=\frac{\text{ 0.18 g}}{\text{cm}^3}\times\text{240 cm}^3[/tex]

[tex]\text{Mass}=\text{ 0.18 g}\times 240[/tex]

[tex]\text{Mass}=\text{43.2 g}[/tex]

Therefore, the mass of piece of cork is 43.2 grams.

The mass of a piece of cork with a volume of 240 cm³ is 43.2grams

The formula for calculating the density of a substance with mass "m" and volume "v" is expressed as:

[tex]D =\frac{m}{v}[/tex]

m is the mass of the substance

v is the volume of the substance

Given the following parameters

Density = 0.18g/cm³

Volume = 240cm³

Substitute the parameters into the formula to get the mass:

[tex]m = Dv\\m=0.18 \times 240\\m=43.2g[/tex]

Hence the mass of a piece of cork with a volume of 240 cm³ is 43.2grams

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