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# Volume of a Geometric Solid PowerPoint PPT Presentation

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.

Volume of a Geometric Solid

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## 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)

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

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

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

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:

VolumeFormula Cubic Units

LengthWidth Height

EdgeVertex Face

REMEMBER: Volume is measured in .

Key Words:

Volume Formula Cubic Units

LengthWidth Height

EdgeVertex Face

REMEMBER: Volume is measured in cubicunits.

Key Words:

Volume FormulaCubic Units

LengthWidth Height

EdgeVertex Face

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

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

Definition: A is one side of the 3D figure.

Key Words:

Volume Formula Cubic Units

LengthWidth Height

EdgeVertex Face

Definition: A face is one side of the 3D figure.

Key Words:

Volume Formula Cubic Units

LengthWidth Height

EdgeVertex Face

face

face

face

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

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

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

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

List some similarities and differences of rectangular prisms and cubes!

Rectangular

PrismCube

Label and count the number of faces, edges, and vertices!

10cm

Faces: Faces:

Edges: Edges:

Vertices: _____Vertices: _____

Label and count the number of faces, edges, and vertices!

10cm

Faces: 6Faces: 6

Edges: 12Edges: 12

Vertices: 8_____ Vertices: 8____

Now, let’s have a scavenger hunt for the volume formulas used for certain solid figures!

Let’s try some volume EXAMPLES. 

Ex 1)

Find the volume of the rectangular prism above.

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! )

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)

V= (4 cubes) x (2 cubes) x (2 cubes)

V = (8 cubes) x (2 cubes)

V = 16

V = 16 cubic units

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:

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)

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!

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!

Independent Practice Problems