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Nadusha1986 [10]
2 years ago
9

What is the value of x ?

Mathematics
2 answers:
DIA [1.3K]2 years ago
4 0
X = 2.5


Explanation:
it just is
jeyben [28]2 years ago
3 0
X is going to equal 2.75
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A piece of cardboard is 13 inches by 26 inches. A square is to be cut from each corner and the sides folded up to make an open-t
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Answer:

Hence the maximum possible volume will be the 778.53 c.c

Step-by-step explanation:

Given:

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And corners are cut to form side squares.

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Solution :

Consider a rectangle of 13 x 26 dimension with and side of square  at corner be x.

(Refer the attachment)

Now,

Formulating the volume equation for the box

So corner square sides we are going to fold up which makes height of the box

and remaining part will be length and breadth

As shown in fig,

Length=26-x

breadth=13-x

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V(x)=x*(26*13-26*x-13*x+x^2)

V(x)=x^3-39x^2+338x\\

V'(x)=3x^2-78x+338

V''(x)=6x-78

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3x^2-78x+338=0

x=[-b±(b^2-4ac)^1/2]/2a

x=[78±Sqrt[(78)^2-4*338*3)]/2*3

x=[78±Sqrt(3028)]/6

x=[78±55.027]/6

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6x-78=6*22.17-78

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6*3.8288-78

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Now, the function will defines the maximum volume

V(x)=x^3-39x^2+338x

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