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 me solve this?

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.

a

step-by-step explanation:

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.