A rectangular prism is a three-dimensional shape with six faces, all of which are rectangles. It is also known as a rectangular parallelepiped. The opposite faces of a rectangular prism are congruent and parallel, and all the angles are right angles.

Volume: The volume of a rectangular prism is given by the formula V = l * w * h, where l is the length, w is the width, and h is the height of the prism.
Surface Area: The surface area of a rectangular prism is given by the formula SA = 2lw + 2lh + 2wh, where l, w, and h are the length, width, and height of the prism, respectively.
Diagonal: The length of the diagonal of a rectangular prism is given by the formula d = √(l^2 + w^2 + h^2), where l, w, and h are the length, width, and height of the prism, respectively.

Let's solve a few example problems to understand how to work with rectangular prisms.

Find the volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm.

Solution: Using the volume formula, V = l * w * h, we can plug in the given values: V = 5 * 3 * 4 = 60 cm³

Solution: Using the surface area formula, SA = 2lw + 2lh + 2wh, we can plug in the given values: SA = 2(6 * 4) + 2(6 * 2) + 2(4 * 2) = 104 m²

Here are some key points to remember about rectangular prisms:

A rectangular prism has 6 faces, 12 edges, and 8 vertices.
The opposite faces of a rectangular prism are congruent and parallel.
The volume of a rectangular prism is found by multiplying the length, width, and height.
The surface area of a rectangular prism is found by adding the areas of all its faces.
The diagonal of a rectangular prism can be found using the Pythagorean theorem.

Remember to practice solving problems related to finding the volume, surface area, and diagonal of rectangular prisms to strengthen your understanding of the topic.