Surface Area and Volume

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.
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.
Lateral Area, Surface Area, and Notes
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.
Surface Area and Volume Three-Dimensional Figures and.
Volume and Surface Area 7 th Grade More about Geometry Unit.
Volume of Rectangular Prisms
Draw the net for the prism and find the surface area. Show work and include units !
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.
9-6 Volume of Prisms Warm Up Find the area of each figure. Use 3.14 for . 96 in ft 2 1. rectangle with base length 8 in. and height 12 in. 2.
Volumes of Prisms and Surface Area #31. Vocabulary Volume is the number of cubic units needed to fill a space. V = lwh Ex:Volume is expressed in cubic.
Filling and Wrapping Test Review Finding the Surface Area and Volume of Rectangular Prisms, Cylinders, and Pyramids.
Derive Formulas of Surface Area – Right Prisms and Right Cylinders.
Chapter 10: Surface Area and 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.
Holt CA Course Three-Dimensional Figures Preparation for MG1.3 Know and use the formulas for the volume of triangular prisms and cylinders (area.
7.3 Volume of Prisms and Cylinders
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.
Volume of a Rectangular Prism
3D Geometry Polyhedrona 3-D solid made up of polygons Face Edge Vertex the flat surface of a polyhedron-- faces are all polygons the line segment formed.
SURFACE AREA Math 7. The Surface Area of a given solid figure (3-Dimensional shape) is found by adding the areas of each surface of the figure together.
Surface Area of Prisms and Cylinders Retrieved from
Surface Area of Triangular Prisms
Surface Area of Triangular Prisms Greg Morrison. Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction.
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:
Solid Figures Vocabulary.
Three Dimensional Figures
 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?
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.
Area, perimeter, surface area, and volume Math 124.
 Substitute the values.  Follow the order of operations. (GPRMDAS)  Use appropriate units. ◦ Perimeter is measured in units. (n units) ◦ Area is measured.
Surface Area of Prisms. Vocabulary Surface Area: the sum of the areas of all the faces of a 3D figure Measured in square units (ex: ft 2, in 2, m 2, etc)
SURFACE AREA & VOLUME RECTANGULAR PRISM – AREA RECTANGULAR PRISM – VOLUME.
 Circle  Square  Rectangle  Triangle What is volume? And how is it different than area? Area is the # of square units it takes to cover something.
How much can you fit perfectly into a box?
May look at figures in box to give you some ideas. Geometric Solid:
Changes in scale lab Essential questions:
*Always measured in units cubed (u3)
Volumes of Rectangular Prisms and Cylinders
Unit 11: 3-Dimensional Geometry
Section 9.4 Volume and Surface Area
Surface Area of Triangular Prisms
Section 9.4 Volume and Surface Area
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
Unit 11: 3-Dimensional Geometry
1) Defining Volume 2) Volume = lwh 3) Volume = Bh
Volumes of Rectangular Prisms and Cylinders
Warm – Up: Wednesday 10/5 Describe the difference between the two rectangular prisms shown below The first one is a perfect cube because the measurements.
Surface Area of Triangular Prisms
Three –Dimensional Figures
1) Defining Volume 2) Volume = lwh 3) Volume = Bh
1) Defining Volume 2) Volume = lwh
VOLUME.
Measurement: Shape and Space
9.4 – Perimeter, Area, and Circumference
Finding the Volume of Solid Figures
How many cubes can you fit perfectly into your box?
Surface Area of Prisms.
1) Defining Volume 2) Volume = lwh 3) Volume = Bh
*Always measured in units cubed (u3)
Surface Area and Volume
1) Defining Volume 2) Volume = lwh 3) Volume = Bh
Surface Area of Prisms.
Volume of Rectangular Prisms
Presentation transcript:

Surface Area and Volume Vocabulary & Formulas

Prism Definition: A three-dimensional solid that has two congruent and parallel faces that are polygons. The remaining faces are rectangles. Prisms are named by their faces.

Rectangular Prism Definition: A three-dimensional solid that has two congruent and parallel faces that are rectangles. The remaining faces are rectangles.

Cube Definition: A rectangular prism in which all faces are congruent squares.

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

Surface Area of a Cube Ex: How much construction paper would I need to fit on the outside of a particular cube? Formula: S.A. = 6s2

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

Volume of a Cube Ex: How much sand would I need to fill the inside of a particular cube? Formula: V = s3