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Volume of a Geometric Solid

Volume of a Geometric Solid. 5.10B-Connect Models for Volume with their Respective Formulas (Supporting Standard) 5.10C-Select & Use Appropriate Units and Formulas to Measure Volume (Readiness Standard). Reasoning Mind Academy: Volume.

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Volume of a Geometric Solid

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  1. Volume of a Geometric Solid 5.10B-Connect Models for Volume with their Respective Formulas (Supporting Standard) 5.10C-Select & Use Appropriate Units and Formulas to Measure Volume (Readiness Standard)

  2. Reasoning Mind Academy: Volume Definition: is the number of cubic units (cm³ or in³) needed to fill a solid figure . Volume = How much can it hold? Key Words: Volume Formula Cubic Units LengthWidth Height EdgeVertex Face

  3. Reasoning Mind Academy: Volume Definition: Volumeis the number of cubic units (cm³ or in³) needed to fill a solid figure. Volume = How much can it hold? Key Words: Volume Formula Cubic Units LengthWidth Height EdgeVertex Face

  4. Reasoning Mind Academy: Volume Definition: A is a rule that uses symbols. A formula can be used to calculate the volume of a shape or solid figure. Key Words: Volume Formula Cubic Units LengthWidth Height EdgeVertex Face

  5. Reasoning Mind Academy: Volume Definition: Aformula is a rule that uses symbols. A formula can be used to calculate the volume of a shape or solid figure. Key Words: Volume Formula Cubic Units LengthWidth Height EdgeVertex Face

  6. Reasoning Mind Academy: Volume REMEMBER: Volume is measured in . Key Words: Volume Formula Cubic Units LengthWidth Height EdgeVertex Face

  7. Reasoning Mind Academy: Volume REMEMBER: Volume is measured in cubicunits. Key Words: Volume FormulaCubic Units LengthWidth Height EdgeVertex Face

  8. Reasoning Mind Academy: Volume REMEMBER: In order to calculate the volume of a 3D figure, you must measure or know the (how long it is!), (how wide it is!), and (how tall it is!) of the figure. These are called dimensions. Key Words: Volume Formula Cubic Units LengthWidth Height EdgeVertex Face

  9. Reasoning Mind Academy: Volume REMEMBER: In order to calculate the volume of a 3D figure, you must measure or know the length(how long it is!), width(how wide it is!), and height(how tall it is!) of the figure. These are called dimensions. Key Words: Volume Formula Cubic Units LengthWidth Height EdgeVertex Face

  10. Reasoning Mind Academy: Volume Definition: A is one side of the 3D figure. Key Words: Volume Formula Cubic Units LengthWidth Height EdgeVertex Face

  11. Reasoning Mind Academy: Volume Definition: A face is one side of the 3D figure. Key Words: Volume Formula Cubic Units LengthWidth Height EdgeVertex Face face face face

  12. Reasoning Mind Academy: Volume Definition: An is where two faces of a 3D figure meet or join each other. Key Words: Volume Formula Cubic Units LengthWidth Height EdgeVertex Face

  13. Reasoning Mind Academy: Volume Definition: An edge is where two faces of a 3D figure meet or join each other. Key Words: Volume Formula Cubic Units LengthWidth Height EdgeVertex Face

  14. Reasoning Mind Academy: Volume Definition: A is where two edges of a 3D figure meet or join each other. Key Words: Volume Formula Cubic Units LengthWidth Height EdgeVertex Face

  15. Reasoning Mind Academy: Volume Definition: A vertex is where two edges of a 3D figure meet or join each other. Key Words: Volume Formula Cubic Units LengthWidth Height EdgeVertexFace

  16. Reasoning Mind Academy: Volume List some similarities and differences of rectangular prisms and cubes! Rectangular PrismCube

  17. Reasoning Mind Academy: Volume Label and count the number of faces, edges, and vertices! 10cm Faces: Faces: Edges: Edges: Vertices: _____Vertices: _____

  18. Reasoning Mind Academy: Volume Label and count the number of faces, edges, and vertices! 10cm Faces: 6Faces: 6 Edges: 12Edges: 12 Vertices: 8_____ Vertices: 8____

  19. Reasoning Mind Academy: Volume Now, let’s have a scavenger hunt for the volume formulas used for certain solid figures!

  20. Reasoning Mind Academy: Volume Let’s try some volume EXAMPLES.  Ex 1) Find the volume of the rectangular prism above.

  21. Reasoning Mind Academy: Volume Let’s try some volume EXAMPLES.  Ex 1) Step 1: Draw a picture! (One is already drawn for you, but always use a picture.) Step 2: Label your dimensions on the figure’s picture. (What units does the problem give you? They are already labeled for you! )

  22. Reasoning Mind Academy: Volume Step 3: Writeyour SFS = Shape, Formula, Substitute for the problem using the given dimensions. Shape: Rectangular Prism Formula: V= l x w x h Substitute= V= 4 (cubic units) x 2 (cubic units) x 2 (cubic units)

  23. Reasoning Mind Academy: Volume Step 4: Multiply your dimensions. V= (4 cubes) x (2 cubes) x (2 cubes) V = (8 cubes) x (2 cubes) V = 16

  24. Reasoning Mind Academy: Volume Step 5: Box your answer and write the correct units for your answer! V = 16 cubic units

  25. Reasoning Mind Academy: Volume Example 2) A toy chest is shaped like a cube. It measures 2 feet, by 2 feet, by 2 feet. What is the volume of the toy chest? Step 1: a picture!  Step 2: your dimensions on the figure’s picture. (What units does the problem give you? ) Step 3: your SFS = Shape, Formula, Substitute for the problem using the given dimensions. Shape: Formula: Substitute: Step 4: your dimensions. Step 5: Box your answer and write the correct for your answer!

  26. Reasoning Mind Academy: Volume Example 2) A toy chest is shaped like a cube. It measures 2 feet by 2 feet by 2 feet. What is the volume of the toy chest? Step 1: Draw a picture!  Step 2: Label your dimensions on the figure’s picture. (What units does the problem give you? ) Step 3: Writeyour SFS = Shape, Formula, Substitute for the problem using the given dimensions. Shape:Cube Formula: V = s x s x s Substitute: V = 2 (feet) x 2 (feet) x 2 (feet) Step 4: Multiply your dimensions. Step 5: Box your answer and write the correct units for your answer!

  27. Reasoning Mind Academy: Volume Example 3) Jim has a box that stores some gardening tools. The volume of the box is 160 cubic inches. The length of the box is 8 inches and the height is 5 inches. What is the width of the box? *Hint: Use the steps you learned from example 1 and 2!

  28. Reasoning Mind Academy: Volume Example 3) Jim has a box that stores some gardening tools. The volume of the box is 160 cubic inches. The length of the box is 8 inches and the height is 5 inches. What is the width of the box? V= lxwxh 160= 8x4x width Width = 5 inches *Hint: Use the steps you learned from example 1 and 2!

  29. Reasoning Mind Academy: “Now, it’s your turn to try!” Independent Practice Problems Helpful Hints: Read the problem twice. Underline any important parts. Make a plan for solving the problem. Show your work, Do your best!

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