Question

surface area.
Find the total surface area of a cone, if its slant height is 21 mand diameter of its base
is 24 m.​

Answer 1

$\sf Given \begin{cases} & \sf{Length\:of\:cuboid = \bf{15\:cm}} \\ & \sf{Breadth\:of\:cuboid = \bf{10\:cm}} \\ & \sf{Volume\:of\:cuboid = \bf{1200\:cm^3}} \end{cases}$

We have to find: Height of cuboid?

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We know that,

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$\star\;{\boxed{\sf{\purple{Volume_{\;(cuboid)} = l \times b \times h}}}}$

where l , b and h is length, breadth and height of cuboid respectively.

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$\dag\;{\underline{\frak{Putting\:given\:values,}}}$

$:\implies\sf 15 \times 10 \times h = 1200$

$:\implies\sf 150 \times h = 1200$

$:\implies\sf h = \cancel{ \dfrac{1200}{150}}$

$:\implies{\boxed{\sf{\pink{h = 8\;cm}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Thus,\; Height\;of\;cuboid\;is\; {\textsf{\textbf{8\;cm}}}.}}}$

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$\qquad\:\:\:\boxed{\underline{\underline{\purple{\bigstar \: \bf\:Formulas\; related\;to\;cuboid\:\bigstar}}}}$

Total surface area of cuboid = 2(lb + bh + hl)

Curved surface area of cuboid = 2(l + b)h

Answer 2

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