7th Grade Math

Pre-algebra concepts, geometry, and statistical thinking for seventh grade students.

Advanced Topics

Geometry: Area, Volume, and Surface Area

Measuring Spaces

Geometry lets you describe and measure shapes. Area is how much surface a shape covers. Volume measures how much space is inside a 3D object. Surface area is the total space covering the outside.

Calculating Area

For rectangles: \( \text{Area} = \text{length} \times \text{width} \).

Finding Volume

For rectangular prisms: \( \text{Volume} = \text{length} \times \text{width} \times \text{height} \).

Surface Area

Add up the areas of all sides. For a box: \( 2lw + 2lh + 2wh \).

Real-World Uses

Area and volume help when painting walls, filling a pool, or wrapping gifts.

Key Formula

\[A = l \times w\]

Examples

  • Finding how much carpet you need for a room.

  • Calculating the volume of a fish tank.

In a Nutshell

Geometry involves calculating area, volume, and surface area to solve real-life space problems.

Key Terms

Surface Area
The total area covering the outside of a 3D object.
Volume
The amount of space inside a 3D object.
Geometry: Area, Volume, and Surface Area - 7th Grade Math Content | Practice Hub