Volume of a Pyramid Teacher Resources

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Students identify nets and calculate the volume of a pyramid. In this geometry lesson, students draw nets of pyramids and calculate the volume using the correct formula for the given net. They relate the formula of a pyramid to that of a prism.
Go beyond the basic formulas and uncover the surface area and volume of 3-D shapes with this comprehensive and organized worksheet packet. The problems include the basic formula computations while also challenging your learners to derive formulas and practice with complex shapes. Each lesson refers to a specific video; two of the videos are included, and although the others are unavailable, supplementary videos or lessons can be provided in their place. These are great problems that can be used individually or together to challenge your learners and test their skills with area and volume.
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. A nice worksheet is included for students to practice finding the volumes of various square pyramids around the world. The teacher's notes double as a lesson plan.
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. The third explains the formula used to find the volume of square pyramids by slicing up a right rectangular prism into small pyramids. Finally, the volume formula of a sphere is neatly derived.
In this volume of a pyramid worksheet, students solve 5 multiple choice problems. Students find the volume of square and triangular pyramids given a diagram.
Students calculate the surface area and volume of a sphere. In this geometry lesson plan, students define nets, surface areas and volume of prisms, pyramids, cylinders and cones. They use the computer to create nets and analyze shapes.
Eighth graders define volume, prisms, cylinders, pyramids, and cones. They find the volume of those shapes, and determine which volume formulas to use for each shape. They utilize a worksheet and access websites imbedded in this plan to gain practice.
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. You just might have to watch it more than once to make sure you don't miss anything.
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.
In this geometry activity, 10th graders determine the volume of rectangular and triangular prisms and pyramids. The one page interactive activity contains eleven questions. Answers and hints are included. 
In this geometry worksheet, 10th graders apply the properties of a regular pyramid to determine the volume.  The one page worksheet contains two free response questions.  Answers are included.
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. This is a colorful and attractive assignment to add to your curriculum arsenal!
Pupils calculate the surface are and volume. In this geometry lesson, learners create nets of their different polygons. They find the area of nets and prisms as they define the parts of the polygons.
High schoolers find the volume of pyramids and cones. In this volume of pyramids and cones lesson, learners explore the relationship between the volumes of prisms and pyramids. They investigate the relationship between pyramids and cones.
Students investigate the volume of cones. In this geometry lesson, students define the formula to find the volume of cones. They define the concept of having to dissect a three dimensional figure and find the volume.
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.
For this 3D shapes worksheet, 10th graders solve and complete 6 various types of problems. First, they find the radius of a cylinder described. Then, students determine the volume of a pyramid shown. In addition, they find the volume of the frustum illustrated.
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.
In this volume worksheet, students find the volume of prisms, pyramids, cones, cylinders, and spheres. This four-page worksheet contains 35 problems. The first page of the worksheet is a list of formulas and terms the student should master. The problems follow on the next page.
In this volume worksheet, students determine the volume of prisms, pyramids, cylinders and cones. They find the volume of shaded regions. This two-page worksheet contains 22 multi-step problems.

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Volume of a Pyramid