A rectangular prism which is a three-dimensional shape (length, width, and height) has six faces-two of them are located at the top and the bottom, whereas four of them are lateral faces. Every rectangular prism consists of 6 faces, 8 vertices, and 12 edges. Every face of the prism is rectangular and due to that a prism, which is rectangular, is also known as a cuboid. A few examples of a rectangular prism are a pencil box, notebook, computer screen, etc.

**Triangular Prism**

A triangular prism is in 3D shape, and it has two identical faces which are in the shape of a triangle-connected by three rectangular faces. Those rectangular faces are known as the lateral faces, whereas the triangular faces are known as the bases. The bases are also known as the top and bottom faces. The two triangular faces are congruent to each other, while the other three lateral faces that are in rectangular shapes are also congruent to each other. Hence, every triangular prism includes 5 faces, 6 vertices, and 9 edges.

**Properties of a Triangular Prism**

## Some of the important properties of a triangular prism are as follows:

- Every triangular prism contains 5 faces, 6 vertices, and 9 edges.
- Every triangular prism is a 3D polyhedron that has two triangular faces and three rectangular faces.
- If a triangular prism has bases that are equilateral triangles, but the faces are in the shape of a square instead of rectangular, then such a type of prism is called semiregular.
- The cross-section of a triangular prism is a triangle.

** Properties of a Rectangular Prism**

Some of the important properties that every rectangular prism is identified by are the following:

- Every rectangular prism consists of 6 faces, 8 vertices, and 12 edges.
- All the rectangular prisms have three dimensions-length, width, and height.
- The pairs of opposite faces of a rectangular prism are congruent to each other.
- The faces of a right rectangular prism are in the shape of a rectangle, whereas an oblique rectangular prism has faces that are parallelograms.
- All the rectangular prisms have a cross-section which is rectangle in shape.

** Types of Rectangular Prism**

Depending on the structure of a Rectangular Prism, there are two types of it.

- Right Rectangular Prism- The faces of a right rectangular prism are perpendicular to its bases. All the side faces are rectangular shapes.
- Oblique Rectangular Prism- The faces in an oblique rectangular prism are not perpendicular to their bases, which shows that the faces are parallelograms.

**Different Types of Formulas of Rectangular Prism**

Let us have a brief look at the different formulas of a rectangular prism.

- To find out the volume of such prism:

Volume(V)=l*w*h; where l=length, w=width, and h= height of the prism

- The formula to find out the surface area of a rectangular prism:

Total Surface Area (TSA)=2(l*w + w*h + l*h); where again, l= length of the prism, w=width and h=height of it.

- To find out the lateral surface area:

Lateral Surface Area (LSA)=2(w*h + h*l); conditions remain the same.

**Problem Solving**

**Example 1:** Roy has a box of toffees that has the shape of a rectangular prism. The length, width, and height of that box are 8 inches, 4 inches, and 3 inches respectively. Find the volume of the toffee box.

**Solution: **The given measurements of the dimension of the box are,

Length(l) = 8 in

Width(w) = 4 in

Height(h) = 3 in

Therefore, the required volume of the box of toffees is,

V = l*w*h = (8*4*3) inches = 96 inches

The required solution is 96 inches.

For detailed analysis and explanation on rectangular and triangular prisms, visit the Cuemath website.