Rectangular Prism

A rectangular prism is a three-dimensional shape with six rectangular faces. It is also known as a rectangular solid or a cuboid. Each face of the rectangular prism is a rectangle, and opposite faces are equal in size and shape.

Properties of a Rectangular Prism

Faces: A rectangular prism has 6 faces, all of which are rectangles.
Edges: It has 12 edges, where each edge is formed by the intersection of two adjacent faces.
Vertices: A rectangular prism has 8 vertices or corners where three edges meet.
Volume: The volume of a rectangular prism is found by multiplying the length, width, and height of the prism. The formula for volume is V = l * w * h, where l is the length, w is the width, and h is the height.
Surface Area: The surface area of a rectangular prism is the sum of the areas of all six faces. The formula for surface area is SA = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.

Examples of Rectangular Prisms

Some examples of rectangular prisms in everyday life include cereal boxes, building blocks, and storage containers.

Understanding the properties and formulas associated with rectangular prisms can help in solving various math problems and real-world applications.

◂Math Worksheets and Study Guides Third Grade. Solids and Faces

The resources above cover the following skills:

Geometry (NCTM)

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes.

Classify two- and three-dimensional shapes according to their properties and develop definitions of classes of shapes such as triangles and pyramids.

Use visualization, spatial reasoning, and geometric modeling to solve problems.

Recognize geometric ideas and relationships and apply them to other disciplines and to problems that arise in the classroom or in everyday life.