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 taking the cross-section of a rectangular prism, the resulting triangles can be right triangles or isosceles triangles, depending on the orientation of the cut. A diagonal cut across two opposite faces may yield a right triangle, while a cut parallel to one pair of edges can produce isosceles triangles. Additionally, if the cross-section intersects at various angles, scalene triangles can also be formed.
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
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.
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.
Area of trapezoidal cross-section x length.
Its volume is its cross-section area times its 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.