The outside dimensions of a living room are 13' 0" x 22' 0". If the wall thickness is 5 1/8" , what are the inside dimensions of
the living room?
A. 12' 13/4" x 21' 13/4"
B. 7' 101/2" x 16' 101/2"
C. 12' 71/8" x 21' 71/8"
D. 12' 67/8" x 21' 67/8"
A. 12' 13/4" x 21' 13/4"
B. 7' 101/2" x 16' 101/2"
C. 12' 71/8" x 21' 71/8"
D. 12' 67/8" x 21' 67/8"
1 answer:
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Answer:
a) h = 123/x^2
b) S = x^2 +492/x
c) x ≈ 6.27
d) S'' = 6; area is a minimum (Y)
e) Amin ≈ 117.78 m²
Step-by-step explanation:
a) The volume is given by ...
V = Bh
where B is the area of the base, x^2, and h is the height. Filling in the given volume, and solving for the height, we get:
123 = x^2·h
h = 123/x^2
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b) The surface area is the sum of the area of the base (x^2) and the lateral area, which is the product of the height and the perimeter of the base.
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c) The derivative of the area with respect to x is ...
When this is zero, area is at an extreme.
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d) The second derivative is ...
This is positive, so the value of x found represents a minimum of the area function.
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e) The minimum area is ...
The minimum area of metal used is about 117.78 m².
Use this word problem just change the numbers
