It could be anything.... the question needs to be more specific.
No. There is no reason for the surface area of all triangular prisms to be the same always. For example, increasing the length of the prism only adds area; there is nothing to counteract this increase, so the area must be different.The same applies to all prisms and 3-dimensional objects: changing the dimensions can alter the area.
Just knowing the volume in centimeters cubed of a rectangular prism would not allow you to find the dimensions.
They would have to have the same base area, if that's what you mean.
A rectangular prism can be formed by extending a rectangle in three dimensions. Additionally, other shapes, such as parallelograms, can also be used to create similar three-dimensional shapes, though they would not strictly be rectangular prisms unless the faces are rectangles. Essentially, any shape that can be extruded or extended uniformly along a third dimension can contribute to forming a prism-like structure.
the most typical dimensions would be 2cm x 3cm X 3cm
The rectangular prism has a rectangular cross-section; the triangular prism has a triangular cross-section. Any other difference would be related to this fact - for example, differences in the formulae for the surface area, for the volume, etc.
No. There is no reason for the surface area of all triangular prisms to be the same always. For example, increasing the length of the prism only adds area; there is nothing to counteract this increase, so the area must be different.The same applies to all prisms and 3-dimensional objects: changing the dimensions can alter the area.
4
A cube or cuboid.
Just knowing the volume in centimeters cubed of a rectangular prism would not allow you to find the dimensions.
It would be very slow going and the walls would be very thick.
The reason for prisims is... think about it! Would it be easy to stack spheres?
you've given volume dimensions for a rectangular prism of 700 cubic feet. It's surface area would be 480 square feet.
They would have to have the same base area, if that's what you mean.
Not sure how the perimeter of a solid object is defined. It cannot be a path around all the edges since even with a simple polyhedron - a cube - there is no route that does not require retracing or repeating an edge. Is it the sum of the edges' lengths? And would the definition extend to polyhedra in higher dimensions? A round shape - in 2-dimensions - does have a perimeter.
A rectangular prism can be formed by extending a rectangle in three dimensions. Additionally, other shapes, such as parallelograms, can also be used to create similar three-dimensional shapes, though they would not strictly be rectangular prisms unless the faces are rectangles. Essentially, any shape that can be extruded or extended uniformly along a third dimension can contribute to forming a prism-like structure.
I would mostly say yes if it was a cube but I don't know