The octagonal prism is, like the hexagonal prism, not a commonly studied prism at elementary level.
At the very most, your child will have to be able to identify the shape and count its vertices and edges.
Your child will most likely never have to calculate either the volume or the surface area UNLESS.. a value for the area of the octagon is given. Then the surface area and volume are very elementary calculations.
Image | |
Cross Section | |
Faces |
TEN - The front and back faces (2) which are octagons, and eight rectangles (8) which connect them. |
Vertices |
16 Vertices |
Edges |
24 Edges |
Surface Area |
Where: l = distance from front face to back face |
Volume |
Where: l = distance from front face to back face; B = Area of Base |
Area of Octagon |
Your student is not expected to know or use this formula, I have put it here for interest purposes only. If your child is expected to find the area of an Octagon, it will be by calculating the area of triangles, when they are given the value of the Apothem. Click the button below to get a full explanation of this method. |
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