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 Edge Vertex 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 Edge Vertex 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 Edge Vertex Face

5. Reasoning Mind Academy: Volume Definition: A formula 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 Edge Vertex Face

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

7. Reasoning Mind Academy: Volume REMEMBER: Volume is measured in cubic units. Key Words: Volume Formula Cubic Units LengthWidth Height Edge Vertex 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 Edge Vertex 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 Edge Vertex Face

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

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

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

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

18. Reasoning Mind Academy: Volume Label and count the number of faces, edges, and vertices! 10 cm 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! 3D Solid Figure Cube Rectangular Prism Volume

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: Write your 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. 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! Reasoning Mind Academy: Volume

26. 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: Write your 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! Reasoning Mind Academy: Volume

27. 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! Reasoning Mind Academy: Volume

28. 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! Reasoning Mind Academy: Volume

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!