Berrice is calculating the density of cookies in a tin. She knows the number of cookies in the tin and the volume of the tin. Which of the following formulas can be used to calculate the density of cookies in the tin?
A. [tex]$\text { Density }=\frac{\text { volume of tin }}{\text { number of cookies }}$[/tex]
B. [tex]$\text { Volume of shelf }=\frac{\text { density }}{\text { number of cookies }}$[/tex]
C. [tex]$\text { Number of books }=\frac{\text { density }}{\text { volume of tin }}$[/tex]
D. [tex]$\text { Density }=\frac{\text { number of cookjes }}{\text { volume of tin }}$[/tex]
Answer (1)
Density is calculated as the ratio of mass to volume.
In this context, the 'mass' is the number of cookies.
Therefore, density equals the number of cookies divided by the volume of the tin.
The correct formula is: Density = volume of tin number of cookies
Explanation
Understanding the Problem Berrice wants to find the density of cookies in a tin. We know the number of cookies and the volume of the tin. We need to identify the correct formula for density.
Applying the Density Formula The general formula for density is: Density = Volume Mass In this case, the 'mass' is represented by the number of cookies. So, the density of cookies is: Density = Volume of the tin Number of cookies Now, we compare this with the given options.
Identifying the Correct Option The correct formula is: Density = volume of tin number of cookies This matches the last option provided.
Examples
Imagine you're packing a lunchbox with snacks. Density helps you figure out how many snacks you can fit into the lunchbox without squishing them. If you know the volume of the lunchbox and want to pack cookies, calculating the cookie density tells you how tightly the cookies are packed. This concept is useful not just for packing snacks, but also for optimizing storage in various situations, from organizing your bookshelf to loading items into a container efficiently.
