Example:
Folding a
Box.
Using a rectangular piece of sheet metal
40 centimeters by 80 centimeters, form an open-top box having a vol
ume
of 7500 cubic centimeters. Youneed to find
out
the height of the
box (that is, the amount to be folded up along each of the four sides)
that gives the specified volume. A
taller
box
is
preferred
to a
shorter
one.
I-
ro
i
««-#*+«-
• r
-80
If H is the height, then the length of the box is (80 - 2H) and the
width
is (40 - 2H). The volume, V, is:
V = (80 - 2H) x (40 - 2H) x H
and
the function equal to zero is
0
=(80
-2H)x(40-2H)xH-V
= 4H [(40 - H) (20 - H)] - V
7:
Solving
for
an
Unknown
Variable
in
an
Equation
121
To Next Page
Loading...
