Volume of a Pyramid Teacher Resources
Find Volume of a Pyramid educational ideas and activities
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Volume of Pyramid
Go beyond the basic formulas and uncover the surface area and volume of 3-D shapes with this comprehensive and organized instructional activity packet. The problems include the basic formula computations while also challenging your learners to derive formulas and practice with complex shapes.
7 mins 6th - 11th Math CCSS: Adaptable
Seeking to derive the formula for the volume of a square pyramid, geometry learners construct six square based pyramids that, when pieced together properly, form a cube. Two short videos demonstrate the relationship between pyramid and cube volumes.
3 mins 8th - 12th Math CCSS: Adaptable
The volume of various solids is explored in five sections with the last being eight example problems including step-by-step solutions. Using Cavalieri’s principle and easy-to-follow direct instructions with colored pictures, the first section defines volume, the second explores the volume of a right rectangular prism and related solids, expanding to a general formula for the volume of any prism.
7 mins 8th - 12th Math CCSS: Adaptable
Pyramids and Cones
This resource is rich with student thinking around computing the surface area and volume of a square pyramid and a cone. Embedded in what looks like a typical lesson out of a textbook are vocabulary, examples including complete solutions and graphics, an activity filling in the steps of a proof, an activity where learners find an unknown measurement of a pyramid or cone, assessment discussion questions, and many practice problems and applications.
7 mins 8th - 11th Math CCSS: Adaptable
Relating Volume in 3D Objects with Ten Problems
A fabulous four-page assignment explores volume formulae for rectangular prisms, cylinders, cones, and pyramids. Pupils apply the formulas to solve problems, match diagrams to values, and address real-world scenarios. A detailed answer key shows step-by-step how to arrive at the correct result.
6th - 8th Math CCSS: Adaptable
Measurement: 2D and 3D
Students solve volume problems. In this geometry lesson, the class watches a video about clean water (link provided) and individuals compare the volume of different prisms, including an actual drinking glass. Extension activities include research on organizations that provide safe drinking water and the volume of the containers they use.
8th - 9th Math
What is the Formula for the Volume of a Pyramid?
There are a lot of moving parts in this problem. There's the formula for a triangular prism. Then there's the formula for a triangular pyramid. And don't forget the formula for the area of the base of a triangular shape. Get out your notepaper and follow along as the instructor walks you through and explains each step of solving this problem.
6 mins 6th - 12th Math
Cavalieri’s Principle (Volume)
The volume of the tower in Pisa is the same whether it is leaning or not. Your collaborative geometry learners will use manipulatives to discover that the volume of shapes (i.e. pyramids, prisms, cylinders, etc.) are the same, whether they are right or oblique, as long as they have equal altitude and the cross sections parallel to and at the same distance from their respective bases is the same.
8th - 10th Math CCSS: Designed
How Do You Find the Volume of a Triangular Pyramid?
Instruct your class on how to find the volume of a triangular pyramid using this tutorial. Learners can watch the video and take notes, later applying what they have seen to class work or homework. A clear video with direct instruction, this resource could also function as test review or a reference for class members.
6 mins 6th - 10th Math
Surface Area and Volume of Conics - Cylinders, Cones, and Spheres
This is a multi-faced unit that looks at circles, arcs, sectors, cylinders, cones, spheres, and hemispheres. The formulas for finding length, area, surface area, and volume are discussed with an eye towards an intuitive understanding. Vocabulary is also stressed.
8th - 11th Math CCSS: Adaptable