Acompany sells cereal in 2 different-sized boxes.

dimensions for smaller cereal box: length=7.75in.

width=2in.

height=12in.

the height of the smaller box is 80% of the height of the larger box, while the other two dimensions are the same for both boxes. what is the difference in the volumes of the two boxes?

The difference in the volume of the two boxes is 46.5

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

To start off we need to find the height of the bigger box. We can calculate this by using the Rule of Three since we are given the ration of both boxes and the height of the smaller boxes. The Rule of Three is attached in the picture below.

12in    ⇒   80%

   x     ⇒   100%

Now that we have the height of the bigger box we can calculate the Volume of both boxes. The Volume formula is attached in the picture below.

Finally, we can calculate the difference by subtracting the bigger volume by the smaller volume.

So the difference in the volume of the two boxes is 46.5

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