Report a Problem
Suggestions

# Calculate The Volume of A Pentagonal Prism

Last updated: Saturday, June 24, 2023
Select a type of prism below
Triangular Prism
Rectangular Prism
Square Prism
Pentagonal Prism
Hexagonal Prism

A pentagonal prism is a three-dimensional geometric figure consisting of two parallel pentagonal bases and five rectangular lateral faces. The height of the prism is the perpendicular distance between the pentagonal bases, and all angles are right angles, ensuring that the sides have a consistent length.

Pentagonal prisms can be seen in various real-life objects, showcasing their versatility and practical applications. Examples include pentagonal columns in architecture, which can provide unique visual appeal and stability, and custom packaging designs that utilize the shape's properties for both aesthetics and functionality. Additionally, some board game pieces or tabletop game components might resemble pentagonal prisms.

Easily calculate the volume of a pentagonal prism with step-by-step guidance using our free calculator below.

The formula for determining the volume of a pentagonal prism is defined as:
$$V$$ $$=$$ $$\dfrac{1}{4}$$ $$\cdot$$ $$\sqrt{5 \cdot (5 + 2 \cdot \sqrt{5})}$$ $$\cdot$$ $$a^2$$ $$\cdot$$ $$h$$
$$V$$: the volume of the prism
$$a$$: the length of any side of the bases
$$h$$: the height of the prism
The SI unit of volume is: $$cubic \text{ } meter\text{ }(m^3)$$

## Find $$V$$

Use this calculator to determine the volume of a pentagonal prism when the length of any side of the bases and the height are given.
Hold & Drag
CLOSE
the length of any side of the bases
$$a$$
$$meter$$
the height of the prism
$$h$$
$$meter$$
Bookmark this page or risk going on a digital treasure hunt again

## Similar Calculators

1 (1)
5 (6)
1 (1)
5 (5)
4 (4)

### Cookie Policy

PLEASE READ AND ACCEPT OUR COOKIE POLICY.