Question

The description for a certain brand of house paint claims a coverage of 460 ft2/gal. (a) express this quantity in square meters per liter. (b) express this quantity in an si unit (see appendices a and d). (c) what is the inverse of the original quantity?

Answer 1

Given 460 $ft^2/gal$

a) convert it into $m^2/l$

=> It means $ft^2 -> m^2$ and $gal -> l$

1 ft = 0.3048 m

$1 ft^2 = 0.092903 m^2$

1 gal = 3.78541 l

$460ft^2= [tex]460\frac{ft^2}{gal} = \frac{42.7354m^2}{3.78541l} = 11.2895m^2/l$ m^2[/tex].

b.  $11.2895\frac{m^{2} }{l} *1000\frac{l}{m^3} =11289.5 m^{-1}$

c.Given=  $460\frac{ft^2}{gal}$

To find inverse, divide it by 1.

Inverse- $\frac{1}{460} \frac{gal}{ft^2}$