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
The Area of its base times the height of the shape.
The Surface area of a triangle = 0.5*base*height The volume of a prism = area of its cross-section*length
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.
No.
That depends on how many faces this particular prism has.
Because it's a 3 dimensional shape that has surface area and volume.
It is the area of the base X the height.
The Area of its base times the height of the shape.
You can't derive the volume from the surface area.
The Surface area of a triangle = 0.5*base*height The volume of a prism = area of its cross-section*length
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.
Surface area is squared; volume is cubed.
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.
A surface area would be vital for determining volume
No.
Volume = base area x height = 25 x 1.5 = 37.5 cubic metres.
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