Mathematics · 2022
JEE Main · 30 July 2022, Shift 2 · Q84
An air duct is made of a thick metallic sheet. The duct is open from front and back. Its cross-section is a trapezium of base angles 60^° and area…
An air duct is made of a thick metallic sheet. The duct is open from front and back. Its cross-section is a trapezium of base angles $\displaystyle 60^{\circ}$ and area $\displaystyle 1.5 \mathrm{~m}^2$. Its length is $\displaystyle 1$ m . (see the figure). If its height $\displaystyle x=x_0$ (in metres) so that the area of the metallic sheet used for its construction is minimum, then $\displaystyle 16\left(x_0\right)^4$ is equal to \_\_\_\_.
Official answer
27
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