Topic Area and volumes of plane figures

Slides:

Advertisements

Similar presentations

Chapter 12 – Surface Area and Volume of Solids

Advertisements

SECTION 9-5 Volume and Surface Area Slide VOLUME AND SURFACE AREA Space Figures Volume and Surface Area of Space Figures Slide

Unit 2: Engineering Design Process

Volumes by Counting Cubes

Volume and Total Surface Area of RIGHT Prisms and CYLINDERS.

What Is Volume ? The volume of a solid is the amount of space inside the solid. Consider the cylinder below: If we were to fill the cylinder with water.

VOLUME BY COUNTING CUBES Objective To understand the concept of volume in terms of counting cubes.

Objectives You will identify the characteristics of a cube and cuboid.

Prisms Lesson 9-2.

Slideshow 16, Mathematics Mr Richard Sasaki Room 307.

SURFACE AREA & VOLUME.

Volume of Rectangular Prism and Cylinder Grade 6.

Confidential 2 Warm Up Find the Surface area of each rectangular Prism to the nearest tenth 5.5cm 2.3cm 10cm in. 6.2 in. 5.4 in cm

Teach GCSE Maths Volumes of Prisms.

Name the Shape circle square rectangle triangle hexagon octagon

Unit 13 Areas Presentation 1Formula for Area Presentation 2Areas and Circumferences of Circles Presentation 3Formula for Areas of Trapeziums, Parallelograms.

Surface Area & Volume Prism & Cylinders.

Measurement Jeopardy CirclesPerimeter Area 3-D Surface Area And Volume $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.

Volumes Of Solids. 7cm 5 cm 14cm 6cm 4cm 4cm 3cm 10cm.

S3 BLOCK 8 Area and volume Area Learning Outcomes

Area Learning Outcomes I can find the area of the following 2D shapes.  Rectangle  Triangle  Trapezium  Parallelogram  Circle S3 BLOCK 8 Area and.

Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 6 Geometry.

S3 BLOCK 8 Area and volume 1. Area I can find the area of the following 2D shapes.  Rectangle  Triangle  Trapezium  Circle.

Who Wants To Be A Millionaire?

Warm Ups Preview 10-1 Perimeter 10-2 Circles and Circumference

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.

Prisms Lesson 11-2.

10.2 Volume Standard: MG 3.0 Objective: Find the volume of prisms and cylinders.

Unit 3: Geometry Lesson #5: Volume & Surface Area.

POLYGONS. BUILDING POLYGONS We use line segments to build polygons. A polygon is a closed shape with straight sides.

Is it a square or a cube? It is a cube It is a pyramid Is it a triangle or a pyramid?

The circumference of the circle is 50  feet. The area of the shaded region = ________ example 1 :

Section 12-1 Name the Solids. Prism a 3-dimensional figure with two congruent, parallel faces The bases are congruent, parallel faces. The bases lie in.

Algebra 1 Surface area of solid Figures

Perimeter, Area, and Volume Geometry and andMeasurement.

Plane figure A two dimensional figure. Chapter 10.

1 Surface area of cylinder: Objectives: At the end of the lesson the students should be able; To find the surface area of a cylinder.. What is a cylinder?

Measurement Grade 6. Copyright © Ed2Net Learning, Inc Parallelogram is a quadrilateral in which pairs of opposite sides are parallel. 2. The distance.

Shape, Space and Measure 2 CyberDesign.co.uk 2005 Volume of a cuboid Volume is the amount of space inside 3-D shapes A cube of 1 cm edge has a volume of.

Big Idea 2: Develop an understanding of and use formulas to determine surface areas and volumes of three-dimensional shapes.

Chapter 9 Geometry © 2008 Pearson Addison-Wesley. All rights reserved.

Surface Area of Prisms and Cylinders. Vocabulary A net is a pattern you can fold to form a three-dimensional figure. This is a net for a triangular prism.

Volumes Of Solids. 8m 5m 7cm 5 cm 14cm 6cm 4cm 4cm 3cm 10cm.

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.

S3 BLOCK 8 Area and volume 1. Volume I can find the volume of the following 3D shapes.  Cube  Cuboid  Cylinder.

9.5 Space Figures, Volume, and Surface Area Part 1: Volume.

INTRODUCTION: Here we are presenting some geometrical figures with different dimensions & properties.

TEACHING OF SHAPE & SPACE. YEAR 4 Curriculum Specifications: 9.0 Shape and Space 9.1 Two dimensional shapes Understand the perimeter of a two-dimensional.

Sphere – any round object whose curved surface is the same distance to the center as all of its points.

Confidential2 1. Parallelogram is a quadrilateral in which pairs of opposite sides are parallel. 2. The distance between the pairs of opposite sides of.

Volume of Prisms and Cylinders Algebra 2 1/18/2012.

Starter Activity: Perimeter 1 Calculate the distance around this shape (all angles are right angles)

 0-10 pts.) Describe how to find the areas of a square, rectangle, triangle, parallelogram, trapezoid, kite and rhombus. Give at least 3 examples of.

Part 1 Polygons Triangles A triangle is a polygon with 3 sides. VERTEX SIDE A=1/2bh or A=bh/2.

Surface Area and Volume

Part 1 Polygons.

Honors Geometry Solids Project

Surface Area and Volume

AREA AND VOLUME Form 1 Mathematics Chapter 7.

Filling and Wrapping Review

9.4 – Perimeter, Area, and Circumference

IMAGINE Find the area of the base, B, times the height

Geometry Unit Formula Sheet

Surface Area of Prisms and Cylinders

Presentation transcript:

Topic Area and volumes of plane figures Area and volumes of solid figures

Learning outcomes Students will be able to understand the method of finding areas of figures like: Trapezium Regular pentagon Cube cylinder

They will be able to find the volume and surface area of : Cuboids/cube Cylinder Apply the concepts in daily life mathematical problems.

Previous knowledge Square: side x side Rectangle : length x breadth Triangle : ½ base x height or altitude Circle ∏r2 where r is the radius

Area of some special figures Trapezium A trapezium has one pair of opposite side parallel A B AB is parallel to BD h C D Area=1/2h(sum of parallel sides)

Area of regular hexagon We can find of hexagon in different ways

method1 This hexagon can be divided into two trapezium

Method 2 The hexagon is divided into two triangles and one rectangle

Surface area of a cylinder Let us roll a rectangular sheet of paper 2 ∏r h

We see that the length of the sheet will be the circumference of the circle And the height of the cylinder is the breadth of the sheet. Area of the sheet = l x b which is same as : Area of the cylinder 2 ∏r x h

Volume : it s the space occupied by an object: Volume of a cuboid= lx b x h Volume of a cylinder = ∏r2 h

The unit of measurement of area is square units e g cm2 m2 etc The unit of measurement of volume is cubic units e g cm3 m3 or if we are measuring liquids it will be ml litres.

What is the difference between capacity and volume? What is the relation between the units cm3 and ml A rectangular sheet 11cm x 4 cm is folded to make a cylinder of height 4cm .Find the volume of the cylinder so formed.

Assignment Find the area of the given figures 4cm A regular hexagon having side 5cm 11cm

DC =11cm 3.5cm D C 2.5cm

Find the area of the each green region separately 20cm 16 28cm 24cm