HP 35s HP 35s scientific calculator - User Guide - Page 132
Using Guesses to Find a Root., and the width is 40 - 2
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Example: Using Guesses to Find a Root. Using a rectangular piece of sheet metal 40 cm by 80 cm, form an open-top box having a volume of 7500 cm3. You need to find 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. H 40 40_2H H H 80_2H H 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 ) × (40 - 2H ) × H which you can simplify and enter as Type in the equation: Keys: V= ( 40 - H ) × ( 20 - H ) × 4 × H Display: _ Description: Selects Equation mode and starts the equation 4 HÕ 7-10 Solving Equations
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7-10
Solving Equations
Example:
Using Guesses to Find a Root.
Using a rectangular piece of sheet metal 40 cm by 80 cm, form an open–top box
having a volume of 7500 cm
3
. You need to find 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.
If
H
is the height, then the length of the box is (80 – 2
H
) and the width is (40 – 2
H
).
The volume
V
is:
V
= ( 80 – 2
H
)
×
(40 – 2
H
)
×
H
which you can simplify and enter as
V
= ( 40 –
H
)
×
( 20 –
H
)
×
4
×
H
Type in the equation:
Keys:
Display:
Description:
_
Selects Equation mode and starts
the equation
4
HÕ
_
40
80
40
_
2
H
H
H
80
_
2
H
H
H