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SCORPION-xisa [38]
3 years ago
5

Please help with one question :) 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.
The original box was a rectangular prism and had the surface area of 290inches^2 and a volume of 264in^2

the new box needs to be with the cube formulas.. I know that the surface area is supposed to be less and the volume is supposed to be the same between the two. someone please help me solve this?

Mathematics
2 answers:
lisov135 [29]3 years ago
8 0

Answer:

Step-by-step explanation:

New cereal box is in the form of a cube.

So from the formula of volume of cube a a³

Where a is the side of the cube.

This volume is equal to the volume of the original box

a³ = 264 inch³

a = 6.415 inch

Now the surface area of the box will be

S = 6a²

S = 6 × (6.415)² = 246.91 inch²

Which is less than the surface area of the original box.

Therefore, manufacturing cost of the new cereal box will be less.

Butoxors [25]3 years ago
3 0
Now.. notice the picture below

it has a front-and-back of 11x4
it has a left-and-right of 6x4
and a top-and-bottom of 6x11

now, if the Surface Area is less than 290in², then is cheaper to manufacture, because it uses less material to make the box

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