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What is the total surface area of a right triangular prism whose height is greater than its width by 1.75 cm and has a length of 15 cm with a volume of 275.625 cubic cm showing all work?
Wiki User
∙ 10y ago
1 Let the height be (x+1.75) and the width be x
2 So: 0.5*(x+1.75)*x*15 = 275.625 cubic cm
3 Multiply both sides by 2 and then divide both sides by 15
4 Multiply out the brackets: x2+1.75x = 36.75 => x2+1.75x-36.75 = 0
5 Using the quadratic equation formula gives x a positive value of 5.25
6 Therefore: height = 5.25+1.75 = 7 cm and width = 5.25 cm
7 Using Pythagoras: 72+5.252 =76.5625 and its square root is 8.75 cm
8 Area: 2(0.5*7*5.25)+(15*8.75)+(15*7)+(15*5.25) = 351.75 square cm
9 Check: 0.5*7*5.25*15 = 275.625 cubic cm
Wiki User
∙ 10y ago
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What is 525 feet squared?
525 square feet = x feet * y feet area 1 sq feet = 1/9 sq yard 525 sq feet = 525/9 sq yard = 58.33 sq yard The best answer for this will be "Question is useless"
How many gallons of water in a 4 inch pipe 100 feet long?
The answer is pretty straight forward. You need to calculate the area of the pipe and multiply it by the length of the pipe to determine the pipe's volume. The area can be found by multiplying Pi (3.14) times the radius squared (1/2 of 1.25, or .625 times .625 = .39). Now multiply the length 100' (or 1200 inches to keep common units) to find volume. 3.14 X .39 X 1200 = 1469.5 cubic inches. Now, all you need to do is to convert cubic inches to gallons. There are 231 cubic inches in a gallon, so divide 1469.5 by 231 and you get 6.36 gallons of water in your pipe.
