# Definition:Height of Solid Figure

## Definition

The height of a solid figure is the length of a perpendicular from the base to the point or points most distant from it.

### Height of Parallelepiped The height of a parallelepiped is the length of the perpendicular between the planes of the bases.

In the above diagram, $h$ is the height of the parallelepiped one of whose bases is $AB$.

### Height of Prism The height of a prism is the length of the perpendicular between the bases of the prism.

In the above diagram, the distance $h$ is the height of the prism $AJ$.

### Height of Pyramid

The height of a pyramid is the length of the perpendicular from the plane of the base to its apex.

In the above diagram, $h$ is the height.

### Height of Cone Let a perpendicular $AE$ be dropped from the apex of a cone to the plane containing its base.

The length $h$ of the line $AC$ is the height of the cone.

### Height of Cylinder

The height of a cylinder is the length of a line segment drawn perpendicular to the base and its opposite plane.

In the above diagram, $h$ is the height of the cylinder $ACBDFE$.