jee-main 2023 Q71

jee-main · India · session2_10apr_shift1 Stationary points and optimisation Geometric or applied optimisation problem
A square piece of tin of side 30 cm is to be made into a box without top by cutting a square from each corner and folding up the flaps to form a box. If the volume of the box is maximum, then its surface area (in $\mathrm{cm}^2$) is equal to
(1) 800
(2) 675
(3) 1025
(4) 900 
A square piece of tin of side 30 cm is to be made into a box without top by cutting a square from each corner and folding up the flaps to form a box. If the volume of the box is maximum, then its surface area (in $\mathrm{cm}^2$) is equal to\\
(1) 800\\
(2) 675\\
(3) 1025\\
(4) 900
Paper Questions
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