Just a little science for your ice box.
Water whether liquid or frozen has a specific heat of 1 BTU per pound. That means that 1 BTU will raise the temperature of one pound of water one degree fahrenheit. Ice has a latent heat of fusion of 140 BTU's per pound. This means that melting one pound of ice will cool 10 pounds of water 14 degrees fahrenheit. However cooling ice to zero degrees will only add 32 BTU's of cooling potentail to a pound of ice.The "R" rating for insulation is the resistance that the insulation has to the passage of thermal energy. This is expressed as BTU's per square foot per degree fahrenheit per hour. This means that if your Ice box has a surface area six square feet and the outside air is 90 degrees and the inside is forty degrees and the box is made of aluminum (zero insulation) you will have a 50 degree differential and six square feet so you gain 300 BTU's per hour. Since ice melts at a rate of 140 BTU's you will melt more than 2 pounds of ice per hour. Except of course that as the ice melts the inside temperature goes down so the differential increases and the ice melts faster.
Water whether liquid or frozen has a specific heat of 1 BTU per pound. That means that 1 BTU will raise the temperature of one pound of water one degree fahrenheit. Ice has a latent heat of fusion of 140 BTU's per pound. This means that melting one pound of ice will cool 10 pounds of water 14 degrees fahrenheit. However cooling ice to zero degrees will only add 32 BTU's of cooling potentail to a pound of ice.The "R" rating for insulation is the resistance that the insulation has to the passage of thermal energy. This is expressed as BTU's per square foot per degree fahrenheit per hour. This means that if your Ice box has a surface area six square feet and the outside air is 90 degrees and the inside is forty degrees and the box is made of aluminum (zero insulation) you will have a 50 degree differential and six square feet so you gain 300 BTU's per hour. Since ice melts at a rate of 140 BTU's you will melt more than 2 pounds of ice per hour. Except of course that as the ice melts the inside temperature goes down so the differential increases and the ice melts faster.