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`v = f( "n" "-sides", "t" , "b" , "h" )`

Enter a value for all fields

The **Polygon Shaped Planter Volume** calculator computes the volume of soil needed for a polygon shaped planter based on its shape (number of sides) and dimensions including the length of the sides and the height (depth).

**INSTRUCTIONS**: Choose units and enter the following:

- (
**n**) Number of Sides - (
**t**) Length of Top Sides (see diagram) - (
**b**) Length of Bottom Sides (see diagram) - (
**h**) Height of Planter or Soil height

**Planter Volume (V):** The calculator returns the volume in cubic feet. However, this can be automatically converted into other volume units via the pull-down menu next to the answer. The calculator also returns the equivalent volume in the number of soil bags of the following sizes:

- 1 ft
^{3} - 1.25 ft
^{3} - 2.5 ft
^{3} - 8 quarts
- 32 quarts
- 64 quarts

**IMPORTANT NOTE**: To compute the amount of soil needed in the planter, use the interior dimensions of the container, and use the top diameter associated with how high you want to fill the container. If you wish to fill to the brim, it is the full inner height.

This calculates the volume of a polygon shaped planter. Enter the dimensions of the planter including the number of sides (n), the length of one of the sides on the top (t) of the container, the length of one of the sides of the bottom (b) of the container and the (d) depth of the interior of the box (see diagram), then this formula will provide the volume of the container. This answers the following questions:

- How much soil will my polygon planter hold?
- How much water will my polygon container hold?
- How much potting soil do I need?

If you do not intend to fill the container to the top, this formula will over estimate unless you use a depth (d) that matches your expected top surface inside the container. Unless it's a very large container, and/or you are only using a small portion of the container, the overage should be small.

The **Garden Soil Price Survey** information is as follows:

**Date**: 6/11/21**Store**: Multiple Sources**Garden Soil (1 ft**: $5.99^{3})**Garden Soil (1.5 ft**: $6.49^{3})**Garden Soil (2 ft**$8.49^{3}):**Potting Mix (1.25 ft**$8.74^{3}):**Potting Mix (2.5 ft**$12.36^{3}):

The Pricing Data can be used the the Raised Planter calculator.

- Box (rectangular) Shaped Planter Volume
- Circular Shaped Planter Volume
- Polygon Shaped Planter Volume
- Triangular Shaped Planter Volume
- Tapered Rectangular Shaped Planter Volume
- Hexagon Shaped Planter Volume
- Octagon Shaped Planter Volume

Or just use the single calculator with all of the shapes available in one place at Planter Calculator. This includes some useful industry data like potting soil pricing from national advertisers.

This formula is based on the volume of a polygon based frustum of a pyramid in 3-D geometry.