7th Grade Math
Pre-algebra concepts, geometry, and statistical thinking for seventh grade students.
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.