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Volume of Rectangular Prism and Rectangular Pyramid
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triangles prism volume pyramid The ________________ is the capacity, how much space it takes up, of a three dimensional figure. A _____________ is a solid figure that has 2 bases that are the same size and shape. A ____________________ is a three-dimensional shape whose base is a polygon, where it gets its name, and the other faces are ___________________.
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triangles prism volume pyramid The volume is the capacity, how much space it takes up, of a three dimensional figure. A prism is a solid figure that has 2 bases that are the same size and shape. A pyramid is a three-dimensional shape whose base is a polygon, where it gets its name, and the other faces are triangles.
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Remember formula rules still apply! Rules on working problems with formulas- 1.You must look at the formula chart to find the one you need. 2.You must write the formula down on your paper. 3.Next—write the numbers in the formula from the shape given. 4.Now you are ready to solve. Rules on working problems with formulas- 1.You must look at the formula chart to find the one you need. 2.You must write the formula down on your paper. 3.Next—write the numbers in the formula from the shape given. 4.Now you are ready to solve.
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Where B is the l x w of the Base
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You try
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What would you do if you were given the volume and the height—could you find the dimensions of the Base? If Volume is 252 m³ and the height is 7m. What could be the dimensions of the Base?
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Your turn If Volume is 336 m³ and the height is 8 m. What could be the dimensions of the Base?
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Now watch this video https://www.youtube.com/watch?v=OUDjY6vJ8pw Now watch this video https://www.youtube.com/watch?v=OUDjY6vJ8pw
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Let’s think about this one…
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Find the volume
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Your turn Find the volume.
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Curtis builds a doghouse with a base shaped like a cube and a roof shaped like a pyramid. The cube has an edge length of 4 feet. The height of the pyramid is 5 feet. Find the volume of the doghouse rounded to the nearest tenth.
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Joe builds a doghouse with a base shaped like a cube and a roof shaped like a pyramid. The cube has an edge length of 3 feet. The height of the pyramid is 4 feet. Find the volume of the doghouse rounded to the nearest tenth. YOUR TURN
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Closure: Summary Think of the day’s lesson: the experiment, the formulas, and solving for the volume of rectangular prisms and pyramids. In 20 words or less, summarize what you learned about volume.
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