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If the octagon at the base is regular, the side of the octagon is s and the height of the prism is h, the area of each octagonal base (Ab) is

Ab = 2(√2 +1) s2

The perimeter of the octagon is

P = 8s

Then the surface area of the prism is

As = 2 Ab + Ph

The volume of the prism is

V = Ab h

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Q: How do you find surface area and volume of an octagonal prism?
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Related questions

How is an octagonal prism related to mathematics?

Because it's a 3 dimensional shape that has surface area and volume.


How do you find the volume of a octagonal prism?

It is the area of the base X the height.


What is the formula for finding the volume of an octagonal prism?

The Area of its base times the height of the shape.


What is the volume of a rectangular prism if the surface area is 34?

You can't derive the volume from the surface area.


How do you find the volume and surface area of a triangle or prism?

The Surface area of a triangle = 0.5*base*height The volume of a prism = area of its cross-section*length


Surface area and volume of a right prism?

The surface are of a right prism is equal to twice the area of its base plus the perimeter of the base multiplied with the height of the prism. The volume can be determined by multiplying the Area of the base by the height of the prism.


Is the surface area of a triangular prism cubed?

Surface area is squared; volume is cubed.


What is the smallest possible surface area of a right prism with a volume of 200 cm3?

Assuming you mean a rectangular prism, you get the smallest surface area if the prism is a cube. You can calculate the required length of side to get that volume; then, based on that, the corresponding surface area.


Is there a essayer why to do surface area of triangular prism?

A surface area would be vital for determining volume


If you double the volume of a rectangular prism does its surface area double?

No.


What is the volume of a octagonal prism if the base area is 25 m2 and the height is 1.5 m?

Volume = base area x height = 25 x 1.5 = 37.5 cubic metres.


What is the formula for calculating the volume of an octagonal prism?

Calculating the volume (V) of an octagonal prism involves finding the area (A) of the octagon that is an end (or base), and then simply multiplying it by the length (L) of the prism. The area of an octagon with a side of length s is given by this formula: Aoctagon = 2 (1 + sqrt 2) s2 or about 4.8284 s2 If we take that and multiply it by the length of the prism, we should arrive at the volume thus: Voctagonal prism = L x Aoctagon