octagonal prism volume equation

What is the formula for the volume of an octagon prism?
The volume of an octagonal prism is found by multiplying the area of its octagonal base by its height.
The formula is Volume = (1/2) × Perimeter of Base × Apothem × Height.
The following example shows how to find the volume of prism.
Formula for the volume of a prism: The volume of a prism is the product of the area of the base and the height of the prism.
Prism volume (V) = B × h, where, B is the area of the base and h is the height of the prism.

Formula for the volume of an octagonal prism To calculate the area of the octagon (base area), multiply the perimeter of the octagon by its apothem and divide by two. Then to get the volume of the octagonal prism you need to multiply the result by the length of the prism.

What Is A Prism?

A prism is a closed solid whose two identical faces are parallel plane polygons and whose side faces are parallelograms or rectangles. All the faces of a prism are flat. You can find various kinds of prisms. Here are some examples: 1. Triangular prism, whose base is made up of triangles with 3 rectangular lateral faces. 2. Rectangular prism, whose

What Is An Octagonal Prism?

An octagonal prism is a prism bounded by 2 octagonal bases and 8 rectangular sides. It has 24 edges, 16 vertices, and 10 faces. In our day-to-day life, we use and see objects of various octagonal shapes. For example: 1. An octagonal platter 1. An octagonal pizza box 1. An octagonal ring 1. An octagonal egg container splashlearn.com

The Surface Area of An Octagonal Prism

The surface area of an octagonal prism includes the areas or spaces covered by all of its faces. In order to calculate its total surface area, you need to apply the following formula: Lateral surface area of a right octagonal prism = perimeter of base ×height Total surface area of an octagonal prism = lateral surface area+2×base area splashlearn.com

The Volume of An Octagonal Prism

Volume is the amount of space a solid shape occupies or the amount of space contained within the shape. Volume of an octagonal prism = base area ×height splashlearn.com

Octagonal Prism with Regular Hexagon as Base

To find the surface area or volume of a regular octagonal prism we will require the side length (s), height (h), and the apothem length (a). The apothem of a regular polygon is a line segment joining the center of the polygon to the midpoint of one of its sides. So, perimeter of base =8s and area of base = perimeter of base × apothem ÷2 or 4sa Thus

Solved Examples

Example 1: How many faces does an octagonal prism have? Solution: The faces are the same as the surfaces, which make a 3D shape, so an octagonal prism has 10 faces (8 rectangular faces and 2 octagonal faces—one at the top and the other at the bottom). Example 2: How many edges does an octagonal prism have? Solution:The edges are the same as the sid

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Volume - GAP CLOSING

27 sept 2011 · We can think of the octagon as made up of 8 equal triangles, and we know that the base of each is 6 cm and the height of each triangle is 7 3 cm × 6 cm × 7 3 cm = 21 9 cm2 So B (area of base of prism) = 8 × 21 9 cm2 = 175 2 cm2 V (volume) = Bh = 175 2 cm2 × 4 cm = 700 8 cm3

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