Find the volume of right prisms and pyramids.
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Lessons 19 and 20 engage students in finding the volume of prisms and pyramids. Students use their equation skills to manipulate the volume formula to find missing measurements. Lesson 19 focuses on mathematical problems and Lesson 20 focuses on solving real-world problems. In Lesson 21, students will compare volume to surface area in real-world contexts.
If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problems 2 and 3 (benefit from worked examples). As AP3 is a discovery problem, if live discussion or reflection of the problem were possible, it would allow for students to arrive at the conclusion on their own. Find more guidance on adapting our math curriculum for remote learning here.
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The three shapes below represent the bases of three different prisms. Each grid is 1 unit x 1 unit, and each prism has a height of 10 units.
What is the volume of each prism?
A triangular prism has the measurements shown below.
If the volume of the prism is 270 cubic inches, what is the height of the prism?
Investigate the relationship between the volume of a prism and a pyramid with the same base.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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A right square pyramid is placed inside a cube. The square base of the pyramid is the same shape as the faces of the cube, and the pyramid and the cube have the same height. What is the volume of the cube around, not including, the pyramid?
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