Answer:
x=4 Inch
Step-by-step explanation:
Length of the Square = 24 Inches
If a Square of Length x cm is cut out from each corner
Length of the Box = 24-x-x=(24-2x) Inches
Width of the Box =24-x-x=(24-2x) Inches
Height of the box = x inches
Volume of a Cuboid = Length X Width X Height
V(x)= x(24-2x)(24-2x)
Simplifying
V(x)=4x(12-x)(12-x)
To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.
V(x)=4x(12-x)(12-x)

Set the derivative equal to zero to obtain the critical points

x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.
When x=4
V(4)=4*4(12-4)(12-4)=16*8*8=1024 Cubic Inches
When x=4 Inch, the volume, V of the open box is largest.
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Answer:
x is given as -1.5. Substitute to confirm
Answer:
not positive but i would say 48
Step-by-step explanation:
Answer:

Step-by-step explanation:
The formula of an area of a parallelogram:

b - base
h - height
We have:
base₁ = 9.8 in
base₂ = 10 in
height₁ = 5.6 in
height₂ = h
The area of a parallelogram:
and 
Therefore we have the equation:

Substitute:

<em>divide both sides by 10</em>
