An open, rectangular box with length of 6 feet, width of 4 feet, and height of 2.5 feet is to be painted on all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water that weighs approximately 62 pounds per cubic foot.

Complete Question

An open rectangular box with length of 6 feet, width of 4 feet and height of 2.5 feet is to be painted on all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water that weighs approximately 62 pounds per cubic foot.

A. Find the cost of painting this open box.

B. Find the weight of the water in the filled box

A

B

Step-by-step explanation:

From the question we are told that  

  The length is  

    The width is  

   The height is

Generally the total surface area of the open, rectangular box is mathematically represented as

=>    

=>  

From the question we are told that

     $36.00 worth of paint  covers  

So  $x worth of paint covers  

=>  

=>  

Generally the volume of the open, rectangular box is mathematically represented as

=>  

=>  

From the question we are told that  

 weigh 62 pounds

weigh z pounds

=>  

=>

2 is the final ! : )

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743