B: A box with an open top is to be constructed from a 36 cm by 54 cm rectangular piece of cardboard by cutting out squares or rectangles from each of the four corners, as shown in the figure, and bending up the sides. One of the shorter sides of the box is to have a double layer of cardboard, which is obtained by folding the side twice. Find the largest volume that such a box can have. 2x (A) 5184 cm (B) 5258 cm2 (C) 5036 cm2 (D) 5110 cm² (E) 5295 cm (F) 5073 cm2 (G) 5147 cm2 (H) 5221 cm?

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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B: A box with an open top is to be constructed from a 36 cm by 54 cm rectangular piece of cardboard by cutting out
squares or rectangles from each of the four corners, as shown in the figure, and bending up the sides. One of the
shorter sides of the box is to have a double layer of cardboard, which is obtained by folding the side twice. Find
the largest volume that such a box can have.
2x
(A) 5184 cm (B) 5258 cm2 (C) 5036 cm2 (D) 5110 cm² (E) 5295 cm (F) 5073 cm2 (G) 5147 cm2
(H) 5221 cm?
Transcribed Image Text:B: A box with an open top is to be constructed from a 36 cm by 54 cm rectangular piece of cardboard by cutting out squares or rectangles from each of the four corners, as shown in the figure, and bending up the sides. One of the shorter sides of the box is to have a double layer of cardboard, which is obtained by folding the side twice. Find the largest volume that such a box can have. 2x (A) 5184 cm (B) 5258 cm2 (C) 5036 cm2 (D) 5110 cm² (E) 5295 cm (F) 5073 cm2 (G) 5147 cm2 (H) 5221 cm?
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