Hjb6idn
Answered

IDNLearn.com provides a collaborative environment for finding accurate answers. Our community provides timely and precise responses to help you understand and solve any issue you face.

You are going to cut out the corners of a 10-inch by 12-inch piece of cardboard and fold up the edges to make a topless box as shown below. Find all the valid different values for X that will provide you with a box with a volume of 16 cubic inches. NEED HELP DUE TOMORROW!-thanks

Sagot :

Chickenjustin123idn

Answer:

This is a classical problem which has delighted calculus students down through the ages.

We first express the volume of the box as a function of x, the side of the square which is cut out of each corner.

The resulting box will have a base which is a square which all of whose sides will have length 12 - 2x. The height of the box will be x. Therefore, the volume will be

V = (12 - 2x)2x

= 144x - 48x2 + 4x3

Step-by-step explanation:

hope this helps

Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Thanks for visiting IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more helpful information.