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Area, Volume, Surface Area




 


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)

Related Topics:
Common Core for Grade 7

Common Core for Mathematics

More Math Lessons for Grade 7

Area of Polygons 6.G.1

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
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
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



Find the surface area of a triangular prism in context
In this video, you will learn to solve real-world problems by computing the surface area of triangular prisms.
Bria's camping tent is not waterproof, so she wants to put a tarp over it. The tarp will cover two of the faces. Which size tarp should she buy?




 

You work in a candy store where you pack and wrap candy cubes into boxes. The four choices are shown below with the number of cubes that can be packed along each edge. Determine how many cubes (volume) can be packed in a box and how many square units of wrapping paper (surface area) are needed to cover each box if the dimensions of the box are 10 units, 3 units, and 2 units.
In this video, we find the volume and surface area of a rectangular prism.


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.





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