रैक्टेंगुलर बॉक्स एंड लेंथ
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Answer:
Length of the Cuboid = 24−2x
Breadth of Cuboid =9−2x
Height of Cuboid =x
Volume of Cuboid V=(24−2x)(9−2x)x
V=216x+4x
3
−66x
2
To know the volume maximum
dx
dV
=0
⇒
dx
dV
=216+12x
2
−132x=0
⇒
dx
dV
=18+x
2
−11x=0
(x−9)(x−2)=0
x=9 or 2
By substituting 9 and 2 we get maximum value of volume for x=2inch
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