Changes in scale lab Essential questions:

Slides:

Advertisements

Similar presentations

Surface Area and Volume

Advertisements

Surface Area of Triangular Prisms. Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction paper.

Volume of Prisms 1) Defining Volume 2) Volume = lwh 3) Volume = Bh Created by: David W. Cummins.

Volume of Rectangular Prisms

BELL WORK: FIND THE SURFACE AREA AND VOLUME OF THE RECTANGULAR PRISM. SA= 2lw + 2lh + 2wh SA=2(20)(9) + 2(20)(8) + 2(9)(8) SA = SA= 824.

Volume is the amount of space inside a three-dimensional (3-D) shape

Finding the Volume of Solid Figures MCC6.G.2 – Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes.

Volume and Surface Area 7 th Grade More about Geometry Unit.

Volume of Rectangular Prisms

Area, Volume, and Surface Area

The area of a rectangle equals its length times the width (base times the height). A = length x width = lw or A = base x height = bh Area of a Rectangle.

OBJECTIVE AFTER STUDYING THIS SECTION, YOU WILL BE ABLE TO FIND THE VOLUMES OF RIGHT RECTANGULAR PRISMS AND OTHER PRISMS. YOU WILL BE ABLE TO FIND THE.

FILLING AND WRAPPING VocabularyPROBLEMSSURFACE AREA Miscellaneous VOLUME.

+ Volume of Prisms Defining Volume 1) Volume = length x width x height 2) Volume = Base x height. Miss Hudson’s Maths.

Unit 10-Day 3 Rectangles: Objective: Finding the Perimeter & Area of a rectangle.

Volume & Surface Area MATH 102 Contemporary Math S. Rook.

In this video, you will recognize that volume is additive, by finding the volume of a 3D figure composed of two rectangular prisms.

Warm Up A shape has 5 faces, and 5 vertices how many edges does the shape have? A sphere has a radius of 7.5, what is its surface area and volume? What.

Surface Area and Volume 7 th Grade Surface Area of Prisms Surface Area = The total area of all the surfaces of a three- dimensional object.

Rectangular Prism A solid (3-dimensional) object which has six faces that are rectangles. Volume = Length × Width × Height Which is usually shortened.

Volume of a Rectangular Prism

Surface Area of Prisms and Cylinders Retrieved from

MISS LE Surface Area and Volumes. Surface Area Vocabulary 7MG 2.1 Students will find the surface area of three-dimensional figures. Bases of a prism:

VOLUME AND SURFACE AREA REVIEW. FIND THE VOLUME OF EACH FIGURE. V = lwh V = (6)(7)(10) V = 420 cm³ V = Bh B = (1/2)(6)(8) = 24 V = (24)(12) V = 288 units³.

 Snap together cubes to create a solid rectangular figure.  How long is your figure?  How wide is your figure?  What is the height of your figure?

VOLUME OF SOLID FIGURES BY: How To Find The Volume First find the area ( A ). A =  r square Then multiply the area ( A ) times the height ( H ). V =

Lesson 7-7 Surface Area of Prisms and Cylinders. Definition Surface Area- The sum of the area of all the faces of a solid.

JANUARY 13, 2010 SURFACE AREA AND VOLUME. OBJECTIVES Introduce the idea of surface area and volume Apply understanding of area to surface area Apply surface.

 Substitute the values.  Follow the order of operations. (GPRMDAS)  Use appropriate units. ◦ Perimeter is measured in units. (n units) ◦ Area is measured.

Volume and Area. Definitions Volume is… The measurement of the space occupied by a solid region; measured in cubic units Lateral Area is… The sum of the.

Surface Area and Volume. Day 1 - Surface Area of Prisms Surface Area = The total area of the surface of a three-dimensional object (Or think of it as.

Topic: U9 Surface Area and Volume EQ: How do we find the surface area and volume of prisms and cylinders?

Surface Area If you remove the surface from a three-dimensional figure and lay it out flat, the pattern you make is called a net. Nets allow you to see.

SURFACE AREA & VOLUME RECTANGULAR PRISM – AREA RECTANGULAR PRISM – VOLUME.

Please clear off your desks except for your homework, opening activity, pen/pencil and calculator!!! Opening Activity: 1. Find the volume of the following.

VOLUME  Used to find the amount of liquid something can hold  Ex. the area of a swimming pool is the inside of the pool while the volume is the amount.

12.7 Similar. Today we will… Return to the idea Of similar objects.

Properties of Geometric Solids

All About Volume.

Surface Area: Rectangular & Triangular Prisms & Cylinders

Volume of Prisms, Pyramids, and Cylinders

Surface Area and Volume

Volume Any solid figure can be filled completely with congruent cubes and parts of cubes. The volume of a solid is the number of cubes it can hold. Each.

Surface Area and Volume

Surface Area of Triangular Prisms

In this video, you will recognize that volume is additive, by finding the volume of a 3D figure composed of two rectangular prisms.

1) Defining Volume 2) Volume = lwh 3) Volume = Bh

Area and Volume Area is the amount of space contained in a two-dimensional figure Volume is the amount of space in a three-dimensional figure.

Volume of Prisms.

1) Defining Volume 2) Volume = lwh 3) Volume = Bh

1) Defining Volume 2) Volume = lwh 3) Volume = Bh

1) Defining Volume 2) Volume = lwh 3) Volume = Bh

Surface Area of Triangular Prisms

1) Defining Volume 2) Volume = lwh 3) Volume = Bh

1) Defining Volume 2) Volume = lwh

Who do you think got more popcorn for $4.00? What is your evidence?

Volume/Surface Area 2.3 I can demonstrate and describe the difference between covering the faces (surface area) and filling the interior (volume) of.

Finding the Volume of Solid Figures

In this video, you will recognize that volume is additive, by finding the volume of a 3D figure composed of two rectangular prisms.

Lesson 11.1 Meaning of Volume pp

Grade 6 Unit on Measurement

1) Defining Volume 2) Volume = lwh 3) Volume = Bh

*Always measured in units cubed (u3)

Surface Area and Volume

Who do you think got more popcorn for $4.00? What is your evidence?

1) Defining Volume 2) Volume = lwh 3) Volume = Bh

The area of a circle with radius r

Lesson 6 Surface of Prisms

Presentation transcript:

Changes in scale lab Essential questions: How does the volume of a rectangular prism change when the length, width, or height is changed? How does the surface area of a rectangular prism change when the length, width, or height is changed?

Surface Area Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction paper will I need to fit on the outside of the shape?

Volume Definition: The measure in cubic units of the interior of a solid figure; or the space enclosed by a solid figure. Ex. How much sand will it hold?

Surface Area of a Rectangular Prism Ex: How much construction paper would I need to fit on the outside of a particular rectangular prism? Formula: S.A. = 2LW + 2Lh + 2Wh

Volume of a Rectangular Prism Ex: How much sand would I need to fill the inside of a particular rectangular prism? Formula: V = L*W*h

Lab results Explain how changing an attribute affects volume. (x 2) Explain how changing an attribute affects surface area (x 2) Explain how changing an attribute affects volume. (x ½ ) Explain how changing an attribute affects surface area. (x ½ )

Journal prompts Is there a direct relationship between changing one attribute and volume? Is there a direct relationship between changing one attribute and surface area?

Critical information Changing one attribute of a prism has a direct effect on the prism’s volume. Ex. Doubling the length will result in doubling the volume Changing one attribute of a prism has no direct effect on the prism’s surface area.

Further investigation Predict what would happen if you changed two attributes of the prism? Three attributes of the prism? Test it out Will the same pattern occur with other prisms and 3D shapes?

How do volume and surface area scale in relation to the scale factor? If Solid X is similar to Solid Y by a scale factor, then the surface area of X is equal to the surface area of Y times the square of the scale factor. If Solid X is similar to Solid Y by a scale factor, then the volume of X is equal to the volume of Y times the cube of the scale factor.