Grade 9 Math Test Perimeter and Area Part A: Multiple Choice - Circle the letter of the correct answer. (12marks) 1. A circle has an area of 27 cm2. About how long is the radius? A) 24 cm B) 14 cm C) 9 cm D) 3 cm 2. The area of the circle is about A) 201.1 cm2 B) 64.0 cm2 C) 50.3 cm2 D) 25.1 cm2 3. The area of the shape is about A) 9 cm2
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Research for Educational Reform 25 Area and Perimeter: "Which is Which and How Do We Know?" Helene Sherman Tammy Randolph University of Missouri - St. Louis Fourth grade students participated in three hands-on lessons designed to foster conceptual understanding of area and perimeter‚ to able to measure them in units and to be able to distinguish them from each other within the same figure. Students worked with a university faculty member and classroom teacher to construct shapes on geoboards
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Surface Area Formulas In general‚ the surface area is the sum of all the areas of all the shapes that cover the surface of the object. Cube | Rectangular Prism | Prism | Sphere | Cylinder | Units Note: "ab" means "a" multiplied by "b". "a2" means "a squared"‚ which is the same as "a" times "a". Be careful!! Units count. Use the same units for all measurements. Examples |Surface Area of a Cube = 6 a 2
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File: GeomB 2011 Answers 8.10.11 No Calculators: Updated: August 10‚ 2011 A concave polygon looks sort of like a vertex has been ’pushed in’ towards the inside of the polygon. A convex polygon has all the vertices of the polygon pointing outwards‚ away from the interior of the shape. Think of it as a ’bulging’ polygon. A regular polygon is a polygon which is equiangular (all angles are congruent) and equilateral (all sides have the same length). Regular polygons may be convex or star. (5
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BE PROPERLY STAPLED. 1. Are the two rectangular prisms similar? If so‚ give the similarity ratio. 2. The lateral areas of two similar paint cans are 1019 cm2 and 425 cm2. The volume of the small can is 1157 cm3. Find the volume of the large can. 3. The volumes of two similar solids are 128 m3 and 250 m3.The surface area of the larger solid is 250 m2. What is the surface area of the smaller solid? 4. Triangular Prism X and triangular Prism Y are similar. The ratio of corresponding dimensions
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Intro: Surface Area and Volume Multiple Choice Identify the choice that best completes the statement or answers the question. Find the surface area of the space figure represented by the net. ____ 1. 12 in. 4 in. 6 in. 4 in. 4 in. 6 in. a. 288 in.2 ____ 2. b. 144 in.2 c. 240 in.2 d. 288 in.2 5 cm 5 cm 7 cm 8 cm 4 cm ____ a. 124 cm2 b. 110 cm2 c. 150 cm2 d. 164 cm2 3. Find the surface area of the cylinder. Use a calculator. Round to the nearest tenth. 4m 3m a
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Surface area Surface area is the measure of how much exposed area a solid object has‚ expressed in square units. Mathematical description of the surface area is considerably more involved than the definition of arc length of a curve. For polyhedra (objects with flat polygonal faces) the surface area is the sum of the areas of its faces. Smooth surfaces‚ such as a sphere‚ are assigned surface area using their representation as parametric surfaces. This definition of the surface area is based on methods
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Area of some rectilinear figures Area of a Triangle : 1/2 x Base x Heights Area of Equilateral Triangle : Sqrt(3)/4 x (Side)2 Area of a Triangle - Hero’s formula : Sqrt{s (s - a) (s - b) (s - c)} where 2s = a + b + c. Area of Rectangle = Length x Breadth Area of a Square = (Side)2 Area of Four Walls = 2 x height (Length + breadth) Area of Rhombus = 1/2 x (Products of Diagonals) Area of Trapezium = 1/2 x (Sum of Parallel Sides) x (Distance between Parallel lines) Area of Parallelogram
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Surface area and Lateral surface area of Polyhedrons LSA or Lateral Surface Area refers to the sum of the areas of all the faces of a three-dimensional figure‚ excluding its bases. SA or Surface Area- refers to the sum of the areas of all the faces of a three-dimensional figure. It also referred to as the Total Surface Area (TSA). ~~~~~~~~~~~~~~~~~~~ For Rectangular Prism LSA= P(h) *where P=perimeter of the base ; h= measurement of the height SA= 2B+ LSA *where B= area of the
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|Subject: Surface area of a sphere | A connection which could be illustrated‚ and could be understood by students who know the perimeter of a circle‚ runs as follows: Put the sphere of radius R inside a cylinder‚ with the cylinder just touching the equator‚ and cut off at the height of the top and bottom of the sphere. (A cutaway view is in the diagram.) [pic] What is the area of the curved part of the
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