If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

STANDARDS

 > 

US-NC

Math

North Carolina Math

Grade 6: Geometry

Solve real-world and mathematical problems involving area, surface area, and volume.

NC.6.G.1

Create geometric models to solve real-world and mathematical problems to:

NC.6.G.1.a

Fully covered
Find the area of triangles by composing into rectangles and decomposing into right triangles.

NC.6.G.1.b

Fully covered
Find the area of special quadrilaterals and polygons by decomposing into triangles or rectangles.

NC.6.G.2

Fully covered
Apply and extend previous understandings of the volume of a right rectangular prism to find the volume of right rectangular prisms with fractional edge lengths. Apply this understanding to the context of solving real-world and mathematical problems.

NC.6.G.3

Use the coordinate plane to solve real-world and mathematical problems by:

NC.6.G.3.a

Fully covered
Drawing polygons in the coordinate plane given coordinates for the vertices.

NC.6.G.3.b

Fully covered
Using coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.

NC.6.G.4

Fully covered
Represent right prisms and right pyramids using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.