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Flura [38]
3 years ago
13

A cardboard box of 32 in^3 volume with a square base and open top is to be constructed. What is the length of base that will min

imize the surface area?
Mathematics
2 answers:
stiv31 [10]3 years ago
6 0
Volume = are base*height
32 = x^2*h --> h = 32/x^2

surface area =  4x(32/x^2) + x^2 
SA = 128/x + x^2

SA' = -128/x^2 + 2x = 0
2x = 128/x^2
2x^3 = 128
x^3 = 64
x = 4

surface area minimized when length of base is 4 in.

hope this help
nadya68 [22]3 years ago
5 0

Answer:

Step-by-step explattttttrttrtrtrnation:

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sasho [114]

Answer:

g'(y)=3y^2-4y-8

Step-by-step explanation:

start by foiling out the given function

g(y)=(y-4)(2y+y^2)\\=2y^2+y^3-8y-4y^2\\=y^3-2y^2-8y

next, use the power rule to find the derivative

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g'(y)=3y^2-4y-8

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1 year ago
Find the volume of the prism
leva [86]

Using the formula given for area:

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3 years ago
If you help me on this god bless you, I NEED HELP !
joja [24]

Answer:

  1. given
  2. additive property of equality
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  4. segment addition postulate
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Step-by-step explanation:

In an equation, the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.

transitive property,  If a = b and b = c, then a = c.

Segment Addition Postulate Defined. The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC.

I hope this was good enough for you:

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Mekhanik [1.2K]

Answer:

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Step-by-step explanation:

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2 years ago
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Please help me!!!!!!
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