A box has the dimensions given in the diagram a Find a formu

A box has the dimensions given in the diagram. a) Find a formula for the volume of gas in the tank shown as a function of the depth. Keep units (use 3ft, not 3) and find the volume in terms of gallons with 1 ft^3 = 7.5gal. V(x) =

Solution

Volume of gas a function of depth V(x)= (3 ft) (2 ft) (x ft) = 6x ft^3

Volume V= lbh= (3ft) (2 ft) (1 ft) = 6 ft^3

but 1 ft^3 = 7.5 gal

V = (6) (7.5) gal

V= 45 gal