An open box (without a lid) is to be made from a rectangular piece of cardboard that has dimensions of 16 inches by 10 inches by cutting out identical squares from each corner and bending up the resulting flaps. Find the dimensions of the box with the largest volume that can be made. X X 10 - 2x b.) 28 16 c.) 28 16 - 2x a.) 12 inches by 6 inches by 2 inches inches by 10 X 28 inches by 10 20 inches by inches 20 inches by inches d.) 14 inches by 8 inches by 2 inches

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
Section9.4: Polyhedrons And Spheres
Problem 1E: Which of these two polyhedrons is concave? Note that the interior dihedral angle formed by the...
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An open box (without a lid) is to be made from a
rectangular piece of cardboard that has dimensions of
16 inches by 10 inches by cutting out identical squares
from each corner and bending up the resulting flaps.
Find the dimensions of the box with the largest
volume that can be made.
X
X
10 - 2x
b.) 28
16
c.) 28
16 - 2x
a.) 12 inches by 6 inches by 2 inches
inches by
10
X
28
inches by
10
20
inches by inches
20
inches by
inches
d.) 14 inches by 8 inches by 2 inches
Transcribed Image Text:An open box (without a lid) is to be made from a rectangular piece of cardboard that has dimensions of 16 inches by 10 inches by cutting out identical squares from each corner and bending up the resulting flaps. Find the dimensions of the box with the largest volume that can be made. X X 10 - 2x b.) 28 16 c.) 28 16 - 2x a.) 12 inches by 6 inches by 2 inches inches by 10 X 28 inches by 10 20 inches by inches 20 inches by inches d.) 14 inches by 8 inches by 2 inches
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