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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
What else can I help you with?
What is the formula for finding the volume of an octagonal prism?
The Area of its base times the height of the shape.
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.
If you double the volume of a rectangular prism does its surface area double?
No.
What is the volume of a prism that has a surface area of 84 square units?
That depends on how many faces this particular prism has.
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.
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
What are the facts of the octagonal prism?
An octagonal prism is a three-dimensional geometric shape with two parallel octagonal bases connected by rectangular lateral faces. It has a total of 10 faces (2 octagons and 8 rectangles), 24 edges, and 16 vertices. The height of the prism is the distance between the two octagonal bases, and its volume can be calculated using the formula ( V = \text{Base Area} \times \text{Height} ). The surface area is calculated by adding the areas of the two bases and the lateral faces.
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.
What is the volume of a rectangular prism if the surface area is 34?
To find the volume of a rectangular prism when given the surface area, we need more information than just the surface area. The surface area of a rectangular prism is calculated using the formula 2lw + 2lh + 2wh, where l, w, and h are the length, width, and height of the prism, respectively. Without knowing at least one of these dimensions, we cannot determine the volume of the prism.
If you double the volume of a rectangle prism will the surface area too?
No, doubling the volume of a rectangular prism does not necessarily double the surface area. The relationship between volume and surface area depends on the dimensions of the prism. For example, if you double the height while keeping the base area constant, the volume increases, but the surface area may not double. The specific changes in dimensions will determine the new surface area.
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
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.
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.
