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Common Core for Grade 7

Common Core for Mathematics

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 7

Examples, solutions, worksheets, videos, and lessons to help Grade 7 students learn how to solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Common Core: 7.G.6

### Suggested Learning Targets

**Area, Volume and Surface Area 1 (7.G.6)**

Area Review

Definition: Volume is the amount of space a 3-dimensional figure takes up.

Strategy: With many shapes, you can calculate volume by multiplying the area of the base by the height.

Definition: Surface area is the area of all the surfaces of a 3-dimensional figure.

Strategy: Visualize the surface area by making "nets" that "unfold" the shape.
### Volume

Volume of Cubes and Rectangular Prisms

**Volume of a Triangular Prism (A Tent Shaped Object)**

Finding the volume of a prism

**Volume Story Problem - Capacity And Cost**

Example:

A swimming pool with dimensions shown below is filled two-thirds of the way. If the cost to fill the pool is $0.04 per cubit ft of water, how much did it cost to fill the pool two-thirds of the way?

**Volume Word Problem Example**

Example:

A water tank is 12 feet high, 5 feet long, and 9 feet wide. A solid metal box which is 7 feet high, 4 feet long and 5 feet wide is sitting at the bottom of the tank. What is the volume of the water in the tank?

### Surface Area

Rectangular Prisms - Volume and Surface Area

Using a net

**Right Triangular Prism - Volume and Surface Area**

**Trapezoidal Prisms - Volume and Surface Area**

Common Core for Grade 7

Common Core for Mathematics

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 7

Examples, solutions, worksheets, videos, and lessons to help Grade 7 students learn how to solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Common Core: 7.G.6

- I can solve mathematical problems involving the area of triangles, quadrilaterals, and other polygons.
- I can solve mathematical problems involving the volume and surface area of cubes and right prisms.
- I can solve real-world problems involving the area of triangles, quadrilaterals, and other polygons.
- I cam solve real-world problems involving the volume and surface area of cubes and right prisms.
- I can solve mathematical and real-world problems
involving the area, circumference, surface
area, and volume of composite objects (2D & 3D)

Area Review

Definition: Volume is the amount of space a 3-dimensional figure takes up.

Strategy: With many shapes, you can calculate volume by multiplying the area of the base by the height.

Definition: Surface area is the area of all the surfaces of a 3-dimensional figure.

Strategy: Visualize the surface area by making "nets" that "unfold" the shape.

Finding the volume of a prism

Example:

A swimming pool with dimensions shown below is filled two-thirds of the way. If the cost to fill the pool is $0.04 per cubit ft of water, how much did it cost to fill the pool two-thirds of the way?

Example:

A water tank is 12 feet high, 5 feet long, and 9 feet wide. A solid metal box which is 7 feet high, 4 feet long and 5 feet wide is sitting at the bottom of the tank. What is the volume of the water in the tank?

Using a net

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