## 7.GM.6 - Apply the concepts of two- and three-dimensional figures to real-world and mathematical situations. a. Understand that the concept of area is applied to two-dimensional figures such as triangles, quadrilaterals, and polygons. b. Understand that the concepts of volume and surface area are applied to three- dimensional figures such as cubes, right rectangular prisms, and right triangular prisms. c. Decompose cubes, right rectangular prisms, and right triangular prisms into rectangles and triangles to derive the formulas for volume and surface area. d. Use the formulas for area, volume, and surface area appropriately.

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Thumbnail Image Title Description Curriculum Nodes

### Definition--3D Geometry Concepts--Antiprism

Antiprism

3-Dimensional Figures

### Definition--3D Geometry Concepts--Apex

Apex

3-Dimensional Figures

### Definition--3D Geometry Concepts--Base (Geometry)

Geometric Base in 3D Geometry

3-Dimensional Figures

### Definition--3D Geometry Concepts--Cavalieri's Principle

Cavalieri's Principle

3-Dimensional Figures

Cone

Cones

### Definition--3D Geometry Concepts--Cross-sections of a Cube

Cross Sections of a Cube

Cubes

### Definition--3D Geometry Concepts--Cross-Sections of a Sphere

Cross Sections of a Sphere

Spheres

Cube

Cubes

Cylinder

Cylinders

### Definition--3D Geometry Concepts--Edge

Edge

3-Dimensional Figures

### Definition--3D Geometry Concepts--Face

Face of a 3D Figure

3-Dimensional Figures

### Definition--3D Geometry Concepts--Horizontal Cross-Sections of a Cone

Horizontal Cross-Sections of a Cone

Cones

### Definition--3D Geometry Concepts--Horizontal Cross-Sections of a Cylinder

Horizontal Cross Sections of a Cylinder

Cylinders

### Definition--3D Geometry Concepts--Horizontal Cross-Sections of a Square Pyramid

Horizontal Cross Sections of a Square Pyramid

Pyramids

### Definition--3D Geometry Concepts--Horizontal Cross-Sections of a Triangular Prism

Horizontal Cross Sections of a Triangular Prism

Triangular Prisms

### Definition--3D Geometry Concepts--Net

Net of a 3D Figure

3-Dimensional Figures

Net for a Cube

Cubes

### Definition--3D Geometry Concepts--Net for a Dodecahedron

Net for a Dodecahedron

3-Dimensional Figures

### Definition--3D Geometry Concepts--Net for a Pyramid

Net for a Pyramid

Pyramids

### Definition--3D Geometry Concepts--Net for a Rectangular Prism

Net for a Rectangular Prism

Rectangular Prisms

### Definition--3D Geometry Concepts--Net for a Tetrahedron

Net for a Tetrahedron

3-Dimensional Figures

### Definition--3D Geometry Concepts--Net for a Triangular Prism

Net for a Triangular Prism

Triangular Prisms

### Definition--3D Geometry Concepts--Net for an Antiprism

Net for an Antiprism

3-Dimensional Figures

### Definition--3D Geometry Concepts--Net for an Icosahedron

Net for an Icosahedron

3-Dimensional Figures

### Definition--3D Geometry Concepts--Net for an Octahedron

Net for an Octahedron

3-Dimensional Figures

### Definition--3D Geometry Concepts--Platonic Solids

Platonic Solids

3-Dimensional Figures

### Definition--3D Geometry Concepts--Prism

Prism

3-Dimensional Figures

Pyramid

Pyramids

### Definition--3D Geometry Concepts--Rectangular Prism

Rectangular Prism

Rectangular Prisms

### Definition--3D Geometry Concepts--Slant Height

Slant Height

3-Dimensional Figures

Sphere

Spheres

Square Pyramid

Pyramids

### Definition--3D Geometry Concepts--Surface Area

Surface Area of 3D Figures

Surface Area

### Definition--3D Geometry Concepts--Triangular Prism

Triangular Prism

Triangular Prisms

### Definition--3D Geometry Concepts--Triangular Pyramid

Triangular Pyramid

Pyramids

### Definition--3D Geometry Concepts--Vertex

Vertex in 3D Geometry

3-Dimensional Figures

### Definition--3D Geometry Concepts--Vertical Cross-Sections of a Cone

Vertical Cross Sections of a Cone

Cones

### Definition--3D Geometry Concepts--Vertical Cross-Sections of a Cylinder

Vertical Cross Sections of a Cylinder

Cylinders

### Definition--3D Geometry Concepts--Vertical Cross-Sections of a Square Pyramid

Vertical Cross Sections of a Square Pyramid

Pyramids

### Definition--3D Geometry Concepts--Vertical Cross-Sections of a Triangular Prism

Vertical Cross Sections of a Triangular Prism

Triangular Prisms

Volume

Volume

### Formulas--Surface Area of a Cube

Formulas--Surface Area of a Cube

The formula for the Surface Area of a Cube.

Surface Area

### Formulas--Surface Area of a Cylinder

Formulas--Surface Area of a Cylinder

The formula for the Surface Area of a Cylinder.

Surface Area and Cylinders

### Formulas--Surface Area of a Rectangular Prism

Formulas--Surface Area of a Rectangular Prism

The formula for the Surface Area of a Rectangular Prism.

Surface Area

### Formulas--Surface Area of a Sphere

Formulas--Surface Area of a Sphere

The formula for the Surface Area of a Sphere.

Surface Area

### Formulas--Surface Area of a Square Pyramid

Formulas--Surface Area of a Square Pyramid

The formula for the Surface Area of a Square Pyramid.

Surface Area

### Formulas--Surface Area of a Triangular Prism

Formulas--Surface Area of a Triangular Prism

The formula for the Surface Area of a Triangular Prism.

Surface Area

### Formulas--Surface Area of a Triangular Pyramid

Formulas--Surface Area of a Triangular Pyramid

The formula for the Surface Area of a Triangular Pyramid.

Surface Area

### Formulas--Volume of a Cube

Formulas--Volume of a Cube

The formula for the Volume of a Cube.

Volume

### Formulas--Volume of a Cylinder

Formulas--Volume of a Cylinder

The formula for the Volume of a Cylinder.

Volume and Cylinders