# ft to cm

#### yorkmanz

##### New member
how to convert 8 ft, 6 in to the nearest centimetre?
whats the formula?

#### MarkFL

##### Super Moderator
Staff member
I would use the conversion factor:

$$\displaystyle x\text{ ft}=x\text{ ft}\cdot\frac{12\text{ in}}{1\text{ ft}}\cdot\frac{2.54\text{ cm}}{1\text{in}}=\frac{762}{25}x\text{ cm}=30.48x\text{ cm}$$

#### HallsofIvy

##### Elite Member
So do you know how many inches there are in a foot? So how many inches there are in 8 ft 6 in? And then do you know how many cm there are in an inch?

#### yorkmanz

##### New member
I would use the conversion factor:

$$\displaystyle x\text{ ft}=x\text{ ft}\cdot\frac{12\text{ in}}{1\text{ ft}}\cdot\frac{2.54\text{ cm}}{1\text{in}}=\frac{762}{25}x\text{ cm}=30.48x\text{ cm}$$
what is this?

8x12+6=102 in

102*2.540=259.08 cm

#### MarkFL

##### Super Moderator
Staff member
what is this?

8x12+6=102 in

102*2.540=259.08 cm
Yes:

$$\displaystyle 30.48\cdot8.5=259.08$$

#### Jomo

##### Elite Member
what is this?

8x12+6=102 in

102*2.540=259.08 cm
Look at the beginning and the end. It clearly says x ft = 30.48x cm
Since you have 8.5 ft, it says that 8.5 ft = 30.48*8.5 cm
Or are you suggesting that MarkFL or others just give you the answer? This is a math help site where we help students arrive at the answer on their own vs a site where they just supply you with the answer.
MarkFL derived the formula for you so that you can use it whenever you want, even if you forget it (since you now know how to derive it)

#### LCKurtz

##### Junior Member
what is this?
Back in the stone age, when I was in school, it was called the "dimensional unit method".

#### yorkmanz

##### New member
I would use the conversion factor:

$$\displaystyle x\text{ ft}=x\text{ ft}\cdot\frac{12\text{ in}}{1\text{ ft}}\cdot\frac{2.54\text{ cm}}{1\text{in}}=\frac{762}{25}x\text{ cm}=30.48x\text{ cm}$$
Thanks much i appreciate ur help...