a paragraph explaining why cereal is packaged in rectangular boxes a paragraph explaining the advantages and disadvantages of your new design. You will turn in the results of this activity for your assessment for this lesson. Calculate the volume and surface area of a standard cereal box. Calculate the cost of manufacturing a standard cereal box if cardboard costs $0.05 per square inch. Design a new cereal box that will hold the same amount of cereal but reduce manufacturing costs. Prove that your new design holds the same amount but can be manufactured more cheaply. Draw a net of your new design. Include all relevant measurements so that your cereal box can be mass produced. You will turn in the following: a table containing the measurements of a standard cereal box clearly labeled work showing how you calculated the volume of a standard cereal box clearly labeled work showing how you calculated the surface area of a standard cereal box clearly labeled work showing how you found the cost of producing a standard cereal box an explanation proving that your new design holds the same amount of cereal as a standard cereal box but that it costs less to manufacture a net of your new design, including any measurements that would be necessary to produce the cereal box. A paragraph discussing the figure you will use for your packaging design, including the name of the figure you chose, the formula for its surface area, the formula for its volume, and the reasons why you believe it is the best figure for your cereal box

Question

a paragraph explaining why cereal is packaged in rectangular boxes a paragraph explaining the advantages and disadvantages of your new design. You will turn in the results of this activity for your assessment for this lesson. Calculate the volume and surface area of a standard cereal box. Calculate the cost of manufacturing a standard cereal box if cardboard costs $0.05 per square inch. Design a new cereal box that will hold the same amount of cereal but reduce manufacturing costs. Prove that your new design holds the same amount but can be manufactured more cheaply. Draw a net of your new design. Include all relevant measurements so that your cereal box can be mass produced. You will turn in the following: a table containing the measurements of a standard cereal box clearly labeled work showing how you calculated the volume of a standard cereal box clearly labeled work showing how you calculated the surface area of a standard cereal box clearly labeled work showing how you found the cost of producing a standard cereal box an explanation proving that your new design holds the same amount of cereal as a standard cereal box but that it costs less to manufacture a net of your new design, including any measurements that would be necessary to produce the cereal box. A paragraph discussing the figure you will use for your packaging design, including the name of the figure you chose, the formula for its surface area, the formula for its volume, and the reasons why you believe it is the best figure for your cereal box

Answer 1

Cereal is typically packaged in rectangular boxes because they are convenient for stacking on shelves, easy to handle, and efficient for shipping and storage. The rectangular shape allows for efficient use of space in transport and on store shelves. Additionally, the design provides a large surface area for branding and marketing purposes.

The advantages of my new design for a cereal box include a reduction in manufacturing costs due to using less material. This design could potentially be more environmentally friendly as well, as less cardboard is being used. However, a disadvantage of this new design may be that it could be more challenging to stack on shelves or store efficiently due to its unique shape.

To calculate the volume and surface area of a standard cereal box, the measurements of the box would need to be taken in order to determine the length, width, and height. The volume can be calculated by multiplying the length, width, and height together, while the surface area can be calculated by adding up all of the individual sides of the box.

In designing a new cereal box that will hold the same amount of cereal but reduce manufacturing costs, I would consider incorporating a trapezoidal shape. A trapezoid has a formula for surface area and volume that can be more efficient than a rectangular shape for minimizing material usage. I believe this is the best figure for my cereal box design as it will allow for cost savings without sacrificing the amount of cereal the box can hold.