71.2k views
2 votes
Most cereal boxes are about 12 inches tall, 8 inches wide, and 2 inches deep

Most cereal boxes are about 12 inches tall, 8 inches wide, and 2 inches deep-example-1
User Chinasaur
by
6.1k points

1 Answer

4 votes

Step-by-step explanation

The new cereal box has the form of a cube.

The volume of the cube is given by the expression a^3

Where a is the side of the cube. This is equal to the volume of the original box.


a^3=12*8*2=192_{\text{ }}in^3

Isolating the value of a:


a=\sqrt[3]{192}

Computing the cubic root:


a=5.7689

Then, the surface area of the box is the following:


Surface=6a^2

Plugging in the values:


Surface=6(5.77)^2=199.75in^2

This area is more than the surface of the original box.

In conclusion, the manufacturing cost of the new cereal box will be more.

User Thomas PEDOT
by
7.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.