Hexahedron

A hexahedron is a geometric figure with six faces. It is a polyhedron, which means it is a three-dimensional shape with flat polygonal faces, straight edges, and sharp corners or vertices.

Types of Hexahedra

There are several types of hexahedra, including:

• Cube: A special type of hexahedron where all six faces are squares, and all angles are right angles.
• Rectangular Prism: A hexahedron with opposite faces that are congruent rectangles and four right angles.
• Square Prism: A hexahedron with square bases and four rectangular faces.

Formulas for Hexahedra

Here are some important formulas for hexahedra:

• Volume of a Cube: V = s³ (where s is the length of a side)
• Volume of a Rectangular Prism: V = lwh (where l is the length, w is the width, and h is the height)
• Surface Area of a Cube: A = 6s² (where s is the length of a side)
• Surface Area of a Rectangular Prism: A = 2lw + 2lh + 2wh (where l, w, and h are the length, width, and height, respectively)

Study Tips

When studying hexahedra, it's important to:

• Understand the properties of each type of hexahedron, including the number of faces, edges, and vertices.
• Practice using the volume and surface area formulas for different types of hexahedra.
• Work through example problems to reinforce your understanding of the concepts.
• Visualize the shapes and their properties to develop a deeper understanding.