Question

Please assist me in finding the surface of this problem.

Answer 1

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.