The answer depends on the inclination of the intersecting plane. The cross section can be a point, a triangle, a rectangle, a pentagon or a hexagon.
The cross-section cut parallel to the base of a right rectangular prism will also be a rectangle. This is because the sides of the prism maintain their rectangular shape throughout, regardless of where the cut is made, as long as it is parallel to the base. The dimensions of the cross-section will depend on the height at which the cut is made but will always retain the rectangular form.
When the 3-d shape is a prism and the cross section is in a plane at right angles to the length of the prism.
No. It is a parallelopiped. And, if it is a right rectangular prism then it is a cuboid.
no
No, a pencil is not a rectangular prism. While it has a cylindrical shape, with a round body and pointed tip, a rectangular prism has six rectangular faces with right angles. A pencil's geometry is more akin to a cylinder than to a prism.
A right-angled triangular prism!
When the 3-d shape is a prism and the cross section is in a plane at right angles to the length of the prism.
No. It is a parallelopiped. And, if it is a right rectangular prism then it is a cuboid.
Its volume is its cross-section area times its length.
Area of trapezoidal cross-section x length.
14 if the triangular cross section has a right triangle, 12 otherwise.
no
No, a pencil is not a rectangular prism. While it has a cylindrical shape, with a round body and pointed tip, a rectangular prism has six rectangular faces with right angles. A pencil's geometry is more akin to a cylinder than to a prism.
yes, they are different.
A rectangular prism has six faces; each face has four right angles. There are 24 right angles in all.
The bases of a prism or cylinder are congruent and parallel and they meet the lateral face (cynder) or faces (prism) at right angles. A cross section parallel to the longitudinal axis will, therefore, be a rectangle.
Although there is a separate formula for it, yes, a cube is technically a rectangular prism, and you can use the rectangular prism's formula, because a rectangle is defined as a quadrilateral with four right angles, which a square is.