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
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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
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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
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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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GCSE Maths
Volume of a Prism MathHelp.com
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D Octagonal prism can use a formula to find the volume of rectangular prisms: V = BX h where V stands for ... Prism 2 without using the volume formula?
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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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27 sept 2011 · connecting the formula for the volume of any prism to the formula for the volume (e g , triangular prisms, hexagonal prisms, octagonal prisms)
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Then, we will find the surface area and volume of prisms, cylinders Example 2: Find the number of faces, vertices, and edges in the octagonal prism 692 1065 54 From this example, we see that the formula for a square pyramid is:
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D Octagonal prism 9 can use a formula to find the volume of rectangular prisms: V = B xh where V stands for Prism 2 without using the volume formula?
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Sep 27, 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 73 cm × 6 cm × 73 cm = 219 cm2 So B (area of base of prism) = 8 × 219 cm2 = 1752 cm2 V (volume) = Bh = 1752 cm2 × 4 cm = 7008 cm3
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Then, we will find the surface area and volume of prisms, cylinders From this example, we see that the formula for a square pyramid is SA = (area o f the
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Volume Find each volume Round to the nearest tenth 1 2 3 4 octagonal prism B 779 cm2, h 127 cm Number Sense Suppose a box has a volume of 1 yd3 prism Name them and provide the equation for determining volume P 10 16
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Sep 27, 2014 · 3 a rectangular pyramid with a height of 52 meters and a base 8 meters Replace V with 144 and B with 24 in the formula for the volume of a
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Formula for the Volume of a Octagon
Source: Sciencing
Surface Area and Volume of Regular Octagonal Prisms by Mike's Math
