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(ft^2)/(gal) = (42.7354m^2)/(3.78541l) = 11.2895m^2/l` m^2[/tex].

b.
`11.2895(m^(2) )/(l) *1000(l)/(m^3) =11289.5 m^(-1)`

c.Given=
`460(ft^2)/(gal)`

To find inverse, divide it by 1.

Inverse-
`(1)/(460) (gal)/(ft^2)`