Due to an increased interest in outdoor activities, the orders to purchase camping tents have also increased. One roll of tent material covers a surface area of 825 square inches. If a standard tent has a length of 7.5 feet, a base of 823 feet, a height of 6 feet, and side measures of 8 feet, how many rolls of tent material are required to make 10 tents? Round the answer to the nearest whole number
First, we need to calculate the total surface area for one tent:
Surface area of the base: length x base = 7.5 feet x 8 feet = 60 square feet
2 sides: height x base = 6 feet x 8 feet = 48 square feet each, so 48 x 2 = 96 square feet
2 sides: height x length = 6 feet x 7.5 feet = 45 square feet each, so 45 x 2 = 90 square feet
Adding all together: 60 + 96 + 90 = 246 square feet
Now we convert the surface area to square inches: 246 square feet x 144 (conversion factor) = 35,424 square inches
Now we can calculate how many rolls are needed for 10 tents:
35,424 square inches x 10 tents = 354,240 square inches
Finally, divide the total square inches by the square inches that one roll covers:
354,240 / 825 = 429.52
Round up to the nearest whole number, so you would need 430 rolls of tent material to make 10 tents.