Head First 2D Geometry

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