storage building is planned which will have a rectangular base and a flat roof. The foundation (including floor) will cost $10 per square foot. The sides will cost $9 per square foot. The roof will cost $13 per square foot.
a) Write an equation to express the construction cost of this building as a function of length x, width y, and height z.
C (x , y , z) =.........................
b) What is the cost to construct a storage building that is 20 feet long, 16 feet wide, and 14 feet high?
cost = $........................
thank you
a) Write an equation to express the construction cost of this building as a function of length x, width y, and height z.
C (x , y , z) =.........................
b) What is the cost to construct a storage building that is 20 feet long, 16 feet wide, and 14 feet high?
cost = $........................
thank you
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a) Cost of Roof + floor are determined by Length & Width so,
($13 + $10)(xy)
= 23xy
Cost of Walls are determined by Length, Width and Height so,
$9(2xz) + $9(2yz)
= 18z(x + y)
Total Cost = 23(xy) + 18z(x + y)
b) x = 20, y = 16, z = 14
Total Cost = 23(xy) + 18z(x + y)
= 23(20)(16) + 18(14)(20 + 16)
= 7360 + 9072
= $16,432
($13 + $10)(xy)
= 23xy
Cost of Walls are determined by Length, Width and Height so,
$9(2xz) + $9(2yz)
= 18z(x + y)
Total Cost = 23(xy) + 18z(x + y)
b) x = 20, y = 16, z = 14
Total Cost = 23(xy) + 18z(x + y)
= 23(20)(16) + 18(14)(20 + 16)
= 7360 + 9072
= $16,432
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You got me... Is it what you need? http://findsth.info/423479/constructions