Question

A box with a square base and no top is to be made from a square piece of cardboard by cutting 5 in. squares from each corner and folding up the sides. The box is to hold 21125 in3. How big a piece of cardboard is needed? To get full credit for this problem, the following must be included in your work: A) A picture of the piece of cardboard AND the box (two separate pictures) labeled with whatever variable(s) you use in your algebraic work B) The equation or equations you need to solve. And then of course the algebra of solving them. Your answer is: in. by in.

          A box with a square base and no top is to be made from a square
piece of cardboard by cutting 5 in. squares from each corner and
folding up the sides. The box is to hold 21125 in3. How
big a piece of cardboard is needed? 
To get full credit for this problem, the following must be included
in your work: 
A) A picture of the piece of
cardboard AND the box (two separate
pictures) labeled with whatever variable(s) you use in your
algebraic work 
B) The equation or equations you need to solve. And then of course
the algebra of solving them.
Your answer is:  in. by  in.

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Added by Nancy M.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Teresa Fuston

04/24/2022

Step 1

Let the side length of the square base be x (after cutting out the 5" squares from each corner), and the height of the box be 5". The volume of the box is given by V = x^2 * 5. Show more…

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A box with a square base and no top is to be made from a square piece of cardboard by cutting 5 in. squares from each corner and folding up the sides. The box is to hold 21125 in3. How big a piece of cardboard is needed? To get full credit for this problem, the following must be included in your work: A) A picture of the piece of cardboard AND the box (two separate pictures) labeled with whatever variable(s) you use in your algebraic work B) The equation or equations you need to solve. And then of course the algebra of solving them. Your answer is: in. by in.

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