Is square prism a cuboid?
Square Prism vs Cuboid
One way to compare a square prism and a cuboid is by looking at their definitions and properties. Let's break it down:
Square Prism
- A square prism is a three-dimensional shape with two identical square bases and rectangular sides connecting them.
- The bases are parallel and congruent, while the sides are perpendicular to the bases.
- The faces of a square prism are all rectangles, with opposite faces being congruent.
- The angles between the bases and the sides are all right angles.
- The volume of a square prism is given by the formula V = l x w x h, where l is the length, w is the width, and h is the height.
Cuboid
- A cuboid is a three-dimensional shape with six rectangular faces, where each face is a rectangle.
- The opposite faces of a cuboid are congruent and parallel.
- All angles in a cuboid are right angles.
- The volume of a cuboid is given by the formula V = l x w x h, where l is the length, w is the width, and h is the height.
Comparison
- A square prism is a specific type of prism that has square bases, whereas a cuboid is a more general shape with rectangular faces.
- Every square prism is a cuboid, but not every cuboid is a square prism.
- The main difference lies in the bases of the shapes - a square prism has square bases, while a cuboid has rectangular bases.
In conclusion, while a square prism is a type of cuboid, they are not exactly the same. The distinction lies in the specific shape of their bases.