Question

can someone please help me i need you

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

Are you taking calculus?

Answer 3

nope in geometry 1B

Answer 4

@mathstudent55

Answer 5

Think of a box of cereal as a prism.
It has a rectangular base and a height.

Now try to come up with a different shape that holds as much (meaning same volume) as the prism, but has less surface area.

Try a cube and a cylinder.

Answer 6

well ok this is what i got can you check it please

Answer 7

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 8

i don't know if am correct

Answer 9

You are correct above.
Now use the volume you have, 288 in^3, and see what the surface area would be if you used a box shaped like a cube.

Answer 10

i don't know how to do that can you help @mathstudent55