A company 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?

This will be a fairly simple problem. First we have to find the volume of the smaller box by multiplying 7.75, 2, and 12. We now know that the volume of the small box is 186 cubic inches. We will need this info later. Finding the volume of the large box will be harder. But using a calculator we can find that the height of the large box is 15. Then multiply 7.75, 2, and 15 to find that the volume of the large box is 232.5. Then just subtract 186 from 232.5 and we have found the difference - 46.5 cubic inches.

Hope I Helped :)

sandlee09 sandlee09 · Answer 2 · 2019-07-25T21:40:16+02:00

Answer:

The difference in the volume of the two boxes is 46.5[tex]in^{3}[/tex]

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%

[tex]\frac{12*100}{80} = 15 in.[/tex]

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.

[tex] SB = 7.75in*2in*12in[/tex]

[tex] SB = 186in^{3}[/tex]

[tex]BB = 7.75in*2in*15in[/tex]

[tex]BB = 232.5in^{3}[/tex]

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

[tex]VD = 232.5in^{3} - 186in^{3}[/tex]

[tex]VD = 46.5in^{3}[/tex]

So the difference in the volume of the two boxes is 46.5[tex]in^{3}[/tex]

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.