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# Calculate The Surface Area of A Pentagonal Prism

Last updated: Saturday, April 29, 2023
Select a type of prism below
Triangular Prism
Equilateral Triangular Prism
Rectangular Prism
Square Prism
Pentagonal Prism
Hexagonal Prism

A pentagonal prism is a three-dimensional geometric shape comprising two congruent pentagonal bases connected by five congruent rectangular lateral faces. Pentagonal prisms are intriguing figures that find applications across various fields such as engineering, architecture, design, and art. Their unique structure and visually appealing properties make them suitable for many practical purposes, ranging from constructing complex structures to creating eye-catching decorative elements.

In the field of architecture and construction, pentagonal prisms can be employed as structural elements, providing stability and an interesting visual appeal to buildings. They can be used in the design of unique and innovative structures, pushing the boundaries of conventional architecture. In interior design, pentagonal prisms can serve as striking decorative features, enhancing the visual appeal of a space and lending a distinctive touch.

The surface area of a pentagonal prism is the area covered by the outer surface of the pentagonal prism.

The formula for determining the surface area of a pentagonal prism is defined as:
$$SA$$ $$=$$ $$5$$ $$\cdot$$ $$a$$ $$\cdot$$ $$h$$ $$+$$ $$\dfrac{\sqrt{5 \cdot (5 + 2 \cdot \sqrt{5})}}{2}$$ $$\cdot$$ $$a^2$$
$$SA$$: the surface area of the prism
$$a$$: the length of any side of the bases
$$h$$: the height of the prism
The SI unit of surface area is: $$square \text{ } meter\text{ }(m^2)$$

## Find $$SA$$

Use this calculator to determine the surface area of a pentagonal prism when the length of any side of the bases and the height are given.
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the length of any side of the bases
$$a$$
$$meter$$
the height of the prism
$$h$$
$$meter$$
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