SOLUTION: Magnus is building a protective cover that is a rectangular prism for his snowmobile using plywood. He has a limited supply of plywood for his job with a total surface area of 186

Algebra ->  Surface-area -> SOLUTION: Magnus is building a protective cover that is a rectangular prism for his snowmobile using plywood. He has a limited supply of plywood for his job with a total surface area of 186      Log On


   



Question 1037081: Magnus is building a protective cover that is a rectangular prism for his snowmobile using plywood. He has a limited supply of plywood for his job with a total surface area of 186 square feet. The height of the cover is 50 inches and the length is 130 inches. (The base does not require plywood.)

Using the total surface area, determine the width of the cover, w. Round to the nearest inch.


Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
186 ft^2 = 26784 ins^2
Make the width = x
Area of end pieces (2)
= 50 * x = 50x (* = times)
2 * 50x = 100x
Area of top and 2 sides
= 130 * x = 130x
= 3 * 130 x = 390x
Total: 100x + 390x
= 490x ins^2
x = 26784/490 = 54.7 inches
width = 55 inches.
Hope this helps :-)