A box is to be constructed from a piece of zinc 20 inches square by cutting equal squares from each corner and turning up the zinc to form the side. What is the volume of the largest box that can be constructed.

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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A box is to be constructed from a piece of zinc 20 inches square by cutting equal squares from each corner and turning up the zinc to form the side. What is the volume of the largest box that can be constructed. 

 

BE CONS Tuy ctED
PIECE
F ZINC
20 INCHES sQUAME
Box
tO
FROM
A
FROM FACH corNER & TURNING up tHE ZINC
THE tareiEST
By cutTING EQUAL
SQUANES
to FORM THE yOE .WHAT
Is
THE VOLUME
of
BOX
THAT GAN
DE
CONSTI CTED.
Transcribed Image Text:BE CONS Tuy ctED PIECE F ZINC 20 INCHES sQUAME Box tO FROM A FROM FACH corNER & TURNING up tHE ZINC THE tareiEST By cutTING EQUAL SQUANES to FORM THE yOE .WHAT Is THE VOLUME of BOX THAT GAN DE CONSTI CTED.
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