Asked by Anonymous
An aquarium of height 1.5 feet is to have a volume of 12 ft3. Let x denote the length of the base and y the width.
a) express y as a function of x
b) Express the total number S of square feet of glass needed as a function of x.
a) express y as a function of x
b) Express the total number S of square feet of glass needed as a function of x.
Answers
Answered by
Damon
volume = area of base * height
so
x y = 12/1.5 = 8 ft^2
y = 8/x
base area = x y = 8
end area = 2 xh = 3 x
side area = 2 y h = 3 y = 3*8/x = 24/x
total area = 8 + 3 x + 24/x
so
x y = 12/1.5 = 8 ft^2
y = 8/x
base area = x y = 8
end area = 2 xh = 3 x
side area = 2 y h = 3 y = 3*8/x = 24/x
total area = 8 + 3 x + 24/x
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