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Please assist me in finding the surface of this problem.

Please assist me in finding the surface of this problem.-example-1
User Meka
by
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1 Answer

2 votes

Given:


\begin{gathered} Base\text{ \lparen a\rparen = 2 cm} \\ Height\text{ \lparen h\rparen = 6 cm} \end{gathered}

Required:

The surface area of a hexagonal pyramid.

Step-by-step explanation:

The surface area of the hexagonal pyramid with base a and a height h is given as,


\begin{gathered} Area\text{ = }(3√(3))/(2)a^2\text{ + 3a }√(h^2)\text{ + }(3a^2)/(4) \\ \end{gathered}

Substituting the given value in the formula,


\begin{gathered} Area\text{ = }(3√(3))/(2)*\text{ \lparen2\rparen}^2\text{ + 3}*2*\sqrt{6^2\text{ + }(3*2^2)/(4)} \\ Area\text{ = 47.86229} \\ Area\text{ }\approx\text{ 47.86 cm}^2 \end{gathered}

Answer:

Thus the surface area of the given hexagonal pyramid is 47.86 sq.cm.

User Sammerk
by
6.2k points
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