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Head First 2D Geometry by Dawn Griffiths, Stray

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As will we! Saving
w
a
ter is kind of
imp
ortant.
T
he hot tub compan
y
will let us hav
e an
y
T
echnica
ll
y,
an
ything
less than
or equa
l
t
o six w
ould be OK wi
th the engineer
s,
but w
e want max butt-spac
e, so we
w
ant to pus
h it t
o the limit.
find your maximum area
The maximum volume allowed is 3 cubic meters. Handily,
all the tubs are 0.5 meters deep. What’s the maximum
area our hot tub can have?
Solution
Volume = Area x Depth
3 = Area x 0.5
3 = Area
0.5
6 square meters = Area
Hope y
ou r
emembered
the units!
And now you’ve got a
2D problem…phew!
The hot tub’s area must be 6m
2
Whichever shape of tub we choose, the area of the hot
tub must be no more than 6 square meters. That way we
know for sure that it’ll only need 3 cubic meters of water
to fill it, and the environmental engineers will be happy.
The shape and size of the tub is completely flexible—
it’s up to us to work out what size and shape of tub
will give us 6 square meters of area and also meet the
band’s requirement: maximum butt-space!
size of an
y s
hap
e.
6m
2
?
6m
2
?
6m
2
?
6m
2
?
6m
2
?
6m
2
?
6m
2
?
6m
2
?
6m
2
?
6m
2
?
282 Chapter 7

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