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Volume of a Geometric Solid5.10B-Connect Models for Volume with their Respective Formulas (Supporting Standard)
5.10C-Select & Use Appropriate Units and Formulas to Measure Volume (Readiness Standard)
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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 Length Width Height Edge Vertex Face
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Reasoning Mind Academy: Volume
Definition: Volume 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 Length Width Height Edge Vertex Face
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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 Length Width Height Edge Vertex Face
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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 Length Width Height Edge Vertex Face
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Reasoning Mind Academy: Volume
REMEMBER: Volume is measured in .
Key Words:
Volume Formula Cubic Units Length Width Height Edge Vertex Face
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Reasoning Mind Academy: Volume
REMEMBER: Volume is measured in cubic units .
Key Words:
Volume Formula Cubic Units Length Width Height Edge Vertex Face
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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 Length Width Height Edge Vertex Face
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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 Length Width Height Edge Vertex Face
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Reasoning Mind Academy: Volume
Definition: A is one side of the 3D figure.
Key Words:
Volume Formula Cubic Units Length Width Height Edge Vertex Face
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Reasoning Mind Academy: Volume
Definition: A face is one side of the 3D figure.
Key Words:
Volume Formula Cubic Units Length Width Height Edge Vertex Face
face
face
face
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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 Length Width Height Edge Vertex Face
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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 Length Width Height Edge Vertex Face
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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 Length Width Height Edge Vertex Face
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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 Length Width Height Edge Vertex Face
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Reasoning Mind Academy: Volume
List some similarities and differences of rectangular prisms and cubes! Rectangular Prism Cube
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Reasoning Mind Academy: Volume
Label and count the number of faces, edges, and vertices!
10 cm
Faces: Faces: Edges: Edges: Vertices: _____ Vertices: _____
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Reasoning Mind Academy: Volume
Label and count the number of faces, edges, and vertices!
10 cm
Faces: 6 Faces: 6Edges: 12 Edges: 12Vertices: 8_____ Vertices: 8____
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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
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Reasoning Mind Academy: Volume
Let’s try some volume EXAMPLES. Ex 1)
Find the volume of the rectangular prism above.
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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! )
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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)
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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
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Reasoning Mind Academy: Volume
Step 5: Box your answer and write the correct units for your answer!
V = 16 cubic units
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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
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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: CubeFormula: V = s x s x sSubstitute: 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
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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
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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= lxwxh160= 8x4x widthWidth = 5 inches
*Hint: Use the steps you learned from example 1 and 2!
Reasoning Mind Academy: Volume
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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!