Maximize Volume Open Box (Jee Mains) | ExamDuo
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Application of Derivates
Medium
Maximize Volume Open Box
A box open from top is made from a rectangular sheet of dimension a × b by cutting squares each of side x from each of the four corners and folding up the flaps. If the volume of the box is maximum, then x is equal to
SELECT ONE OPTION
A
a
+
b
−
√
a
2
+
b
2
−
a
b
12
B
a
+
b
−
√
a
2
+
b
2
+
a
b
6
C
a
+
b
−
√
a
2
+
b
2
−
a
b
6
D
a
+
b
+
√
a
2
+
b
2
−
a
b
6
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