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rectongular box with out of the four Q3) Find the largest volume of a no top made by cutting little of an 7m. X 8m. recton gular sheet of metal, corners and folding up resulting flaps.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 39E: Kristine creates an open box by cutting congruent squares from the four corners of a square piece of...

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

Question

rectongular box with
out of the four
Q3) Find the largest volume of a
no top
made
by cutting little
of an
7m. X 8m. recton gular sheet of metal,
corners
and
folding up resulting flaps.

Expert Solution

Step 1

The with the dimension of 7m x 8m will be

Step 2

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Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?
As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in. are cut from the corners of a rectangular piece of poster board that is 20 in. wide by 30 in. long. Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?