from pint import UnitRegistry
u = UnitRegistry()

R_card = (1.5 * u.feet**2 * u.hour * u.delta_degF / u.btu)

area_card = 7.3 * u.feet**2

U_card = 1 / R_card

U_card

0.666666666667 btu/(delta_degF foot² hour)

UA_card = U_card * area_card

UA_card

4.86666666667 btu/(delta_degF hour)

R_foam = (2 * u.feet**2 * u.hour * u.delta_degF / u.btu)

area_foam = 4.6 * u.feet**2

U_foam = 1 / R_foam

U_foam

0.5 btu/(delta_degF foot² hour)

UA_foam = U_foam * area_foam

UA_foam

2.3 btu/(delta_degF hour)

area_window = .22 * u.feet**2

airfilm_window = (1.5 * u.feet**2 * u.hour * u.delta_degF / u.btu)

airfilm_window

1.5 delta_degF foot² hour/btu

U_window = 1 / airfilm_window

UA_window = U_window * area_window

UA_window

0.146666666667 btu/(delta_degF hour)

UA_total = UA_window + UA_card + UA_foam

UA_total

7.31333333333 btu/(delta_degF hour)

water = 4 * u.pound

water_heat_capacity = (4.186 * u.joules / u.gram / u.kelvin)

mass_box = 35 * u.pound