Question

can anyone check my work please
Length= 8 inches
Width= 3 inches
Height= 12 inches
Surface Area= 2(3*8+3*12+8*12
SA= 2(24+36+96)
SA= 2(156)= 312 sq. in
SA= 312 sq. in

V= bh
V= l*w*h
V= 8*3*12
V=288 in^3

Answer 1

Each year, more than $1 trillion in manufactured goods is packaged in containers. To create each new box, bag, or carton, package designers must balance factors such as safety, environmental impact, and attractiveness against the cost of production.

The cost of production is going to depend upon the cost of materials, and that will be determined by how much material is used. The amount of material used is the same as the surface area of the package (plus any overlap for sealing edges). The amount of product contained in the package will be predetermined—that is, the volume of the package must be large enough to comfortably hold the product.

Your goal is to design a new shape for a cereal container that will hold the same volume of cereal as a standard ceareal box and costs as little as possible to make. Assume that cardboard costs $0.05 per square inch. How cheaply can you package cereal?

Answer 2

I answered in your previous post about this problem that your math was correct.

Now you need to use the same volume, and calculate the surface area if the shape is a cube.
See if the total surface area is less than 312 in^2.
If it is, then a cube could be a better shape for the box because you'd save material.