Math Lessons / Grade 7 Geometry / Lateral Area
Count only the side surfaces

What Is Lateral Area?

Lateral area is the area of a solid's side surfaces, excluding its bases. In prisms and cylinders this means the outer wrap around the solid, while in pyramids and cones it means the triangular or curved sides without the base.

Interactive diagram

Lateral Area Diagram

Highlight the side surfaces and compare them with the excluded bases so the measurement target stays clear.
The bases are left out

What lateral area measures

This measurement is useful when only the side covering matters, such as labels, wrappers, or vertical exterior panels.

This page keeps the bases visually separate from the side surfaces so lateral area can be read as a deliberate part of the surface rather than as a partial answer guessed from memory.

For a cylinder, lateral area is the rectangle formed when the curved side is unwrapped. Its length is the circumference of the circular base and its width is the cylinder's height. The two circular bases are deliberately left out of this measurement.

For a prism, lateral area can be found by multiplying the perimeter of the base by the perpendicular height. The same pattern appears because the side faces wrap around the base boundary as the solid extends upward.

  • Lateral area is the surface area of a solid excluding its bases.
  • Lateral area is part of the surface area, not a different kind of unit.
  • The bases are excluded from lateral area even when they are included in total surface area.
  • Different solids identify lateral area differently, but the core idea is always the side covering only.
Wrapping the sides of a solid

Where lateral area helps

  • Use lateral area when a problem asks for the side covering of a can, tent, label, or prism wall.
  • Use it to compare side-only coverings with full exterior coverings.
  • Use lateral area when the bases are open, hidden, or intentionally excluded from the design question.
Read the question's boundary

Lateral-area checks

  • Do not add the bases if the problem specifically asks for lateral area only.
  • Do not confuse lateral area with total surface area or with volume.
  • Do not forget that curved side surfaces count as lateral area on solids like cylinders and cones.

Separate the side net from the bases

Worked example

Example 1: Wrap only the side faces

Lateral area leaves the bases out and measures the surfaces around a solid.

  • Identify the bases.
  • Trace the side faces.
  • Add their areas.

The result is the side covering without either base.

Worked example

Example 2: Compare lateral and total area

Adding the bases changes lateral area into total surface area.

  • Calculate side area.
  • Calculate both bases.
  • Combine the three parts.

The difference is exactly the area of the bases.

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