Similar Shapes Area & Volume Videos Corbettmaths
What are similar shapes? Similar shapes are enlargements of each other using a scale factor. All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio. E.g. These two rectangles are similar shapes. The scale factor of enlargement from shape A to shape B is 2 2. The angles are all 90^o 90o
Volume and Surface Area of similar shapes example. YouTube
Volume To Surface Area Scaling137/D. Calculate the surface area of a similar 3d shape where it is possible to deduce the volume scale factor directly. Questions Lesson. Maths Kitchen provides easy to use, high quality resources and personalised revision guidance for GCSE Maths.
Area and Volume of Similar Shapes (B) Worksheet Fun and Engaging PDF Worksheets
Lesson 1: Similar shapes. Explains the definition of similar shapes and how to prove they are similar by finding all angles and sides are the same. Examples of how to find an use scale factor to prove this. Independent questions for students to work on with an exam style question for extension work.
Similar Shapes GCSE Maths Steps, Examples & Worksheet
Unit 1 Lines Unit 2 Angles Unit 3 Shapes Unit 4 Triangles Unit 5 Quadrilaterals Unit 6 Coordinate plane Unit 7 Area and perimeter Unit 8 Volume and surface area Unit 9 Pythagorean theorem Unit 10 Transformations Unit 11 Congruence Unit 12 Similarity Unit 13 Trigonometry Unit 14 Circles Unit 15 Analytic geometry Unit 16 Geometric constructions
G19a Lengths, areas and volumes in similar shapes
To find the area of two similar shapes we can use the knowledge that the ratio of their areas is equal to the ratio of the square of their respective sides. Let us take an example; ABC \ (\sim\) DEF So their corresponding parts must be proportional \ (\frac {AB} {DE}=\frac {AC} {DF}=\frac {BC} {EF}\)
G19a Lengths, areas and volumes in similar shapes
Similar Shapes (Area and Volume) Name: _____ Instructions • Use black ink or ball-point pen. • Answer all questions. • Answer the questions in the spaces provided - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. • You must show all your working out. Information
Area of Similar Figures IGCSE at Mathematics Realm
The Relation between the Area of Similar Figures. When two figures are similar, the square of the ratio of their corresponding side lengths equals the ratio of their area. When the ratio of two corresponding sides (or other lengths) is expressed as \ (\frac {a} {b}\), in similar figures, the ratio of the areas is expressed as \ (\frac {a^2} {b^2}\)
Similar Shapes Length, Area, Volume Bingo Teaching Resources
GCSE Maths revision tutorial video.For the full list of videos and more revision resources visit www.mathsgenie.co.uk.
Area of Similar Figures
Start Lesson Back In this lesson, we will identify similar shapes and subsequently work out areas of similar shapes using our knowledge of scale factors.
Similar Shapes (Area and Volume) GCSE maths grade 6
A video revising the techniques and strategies for looking at similar shapes with area and volume. (Higher Only).This video is part of the Ratio & Proportion.
G19a Lengths, areas and volumes in similar shapes
Solution: Linear scale factor = 4 Area scale factor = 42 ( = 16 ) New surface area: 3.5 × 16 = 56 m2 Volume scale factor: If we take a cuboid of length 3 cm and breadth 2 cm 4 cm and height 4 cm then the 3 cm 2 cm Volume = 3 × 2 × 4 = 24 cm3.
Similar Shapes GCSE Maths Steps, Examples & Worksheet
The ratio of the area of two similar triangles is equal to the square of the ratio of any pair of the corresponding sides of the similar triangles. If two triangles are similar it means that: All corresponding angle pairs are equal and all corresponding sides are proportional.
Similar Shapes (Area and Volume) Teaching Resources
Similar figures are identical in shape, but not necessarily in size. A missing length, area or volume on a reduction/enlargement figure can be calculated by first finding the scale factor..
G19a Lengths, areas and volumes in similar shapes
Two solids are similar if they are the same type of solid and their corresponding radii, heights, base lengths, widths, etc. are proportional. Surface Areas of Similar Solids. In two dimensions, when two shapes are similar, the ratio of their areas is the square of the scale factor. A comparable relationship holds in three dimensions as well.
Area and Volume of Similar Shapes (A) Worksheet Cazoom Maths Worksheets
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Areas of similar shapes (3 of 5) YouTube
Area of Similar Shapes How to measure Volume of Similar Shapes How to measure Solved Examples : Key Facts and Summary Recommended Worksheets Introduction Similar shapes are the shapes that have corresponding sides in proportion to every alternative and corresponding angles adequate to each other.