If an open box with a square base is to be made out of a given card board of area K^2 square units, then the maximum volume of the box is Option 1: sqrt(3)K^36 cubic units Option 2: K^33sqrt(6) cubic units Option 3: sqrt(6)K^33 cubic units Option 4: K^36sqrt(3) cubic units

The answer is 'K^36sqrt(3) cubic units'. View full solution:

CUET Mathematics - If an open box with a square base is to be made out of a given card board of area K^2 square units, then the maximum volume of the box is | PYQs + Solutions

CUET Mathematics 2026 15th May Shift 1

Calculus

Hard

core

$\dfrac{\sqrt{3}K^3}{6}$ cubic units

$\dfrac{K^3}{3\sqrt{6}}$ cubic units

$\dfrac{\sqrt{6}K^3}{3}$ cubic units

$\dfrac{K^3}{6\sqrt{3}}$ cubic units

✅ Correct Option: 4

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A.	function $f(x)$ is increasing on interval $I$	I.	$f'(x) < 0\ \ \forall x \in I$
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