MAP 6th Grade Math

A comprehensive course designed to build foundational and advanced math skills for 6th-grade students, preparing them for the MAP assessment and real-world problem-solving.

Advanced Topics

Area, Surface Area, and Volume

Measuring Space

Area is the amount of surface inside a shape, surface area is the total area covering a 3D object, and volume is the space inside a 3D object.

Area

To find the area of rectangles: \( \text{Area} = \text{length} \times \text{width} \).

Surface Area

Add up the area of all the faces on a solid object, like a box.

Volume

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

Where Is It Used?

Area helps with painting walls, surface area with wrapping presents, and volume with filling a fish tank!

Examples

  • A rectangle 4 ft by 3 ft has an area of 12 sq ft.

  • A box 2 cm by 3 cm by 5 cm has a volume of 30 cubic cm.

In a Nutshell

Area, surface area, and volume measure different ways to describe space in 2D and 3D.