Question

I NEED HELP WITH MATH:

You are hired to design a new box for the company from Yum Yum Cereal. Your selection MUST have a Smaller Surface Area and a Larger Volume than the original box. Yum Yum has already tested, a cube, a cylinder, and a triangular prism, so you may NOT use those shapes.

Original Box:
length: 14 in
Height: 11 in
Width: 4 in

Surface area: 508 in^2
Volume: 616 in^3

Explain why this is the best option.

Answer 1

Answer: Answer:

Please find attached the required new cereal boxes for the Yum Yum Cereal Company created with Microsoft Visio

Explanation:

The required volume of the cereal box = 2,400 cm³

The box is to be drawn and labeled as follows using Microsoft Visio

Box #1 Length = 16 cm, Width = 15 cm, Height = 10 cm

The volume = Length × Width × Height = 16 cm × 15 cm × 10 cm = 2,400 cm³

Box #2 Length = 30 cm, Width = 10 cm, Height = 8 cm

The volume = Length × Width × Height = 30 cm × 10 cm × 8 cm = 2,400 cm³

and this is more simple Volume = (length width) height For example, the volume of the cereal box pictured is 312 cubic inches because V = (8 3) 13 = 312 cubic inches.

Explanation: