 # Area, Volume, Surface Area

Related Topics:
Common Core for Mathematics
Lesson Plans and Worksheets for all Grades

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

• 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, 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

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