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also learnt to find the surface areas and volumes of cuboids, cubes and cylinders. We shall now learn to find the surface areas and SURFACEAREAS AND VOLUMES. 209. First we would need a rectangular piece to cover Recall that you have learnt these formulae in earlier classes. Now let us take some examples to.
Knowledge of the areas of rectangles, triangles, circles and composite figures. • The definitions of a parallelogram and a rhombus. • Familiarity with the basic properties of parallel lines. • Familiarity with the volume of a rectangular prism. • Basic knowledge of congruence and similarity. • Since some formulas will be involved,
Geometry Formulas. Areas and Perimeters. Figure. Sketch. Area. Perimeter. Square. A = s. 2. P = 4s. Rectangle. A = lw. P = 2l + 2w. Parallelogram. A = lh. P = 2l + Volumes and Surface Areas of Three- Dimensional Figures. Figure. Sketch. Volume. Surface Area (S). Rectangular. V = lwh. S = 2lh + 2wh + 2wl. Solid. Cube.
AREA AND VOLUME FORMULAS. Areas of Plane Figures. Square. Rectangle. Parallelogram s s w l h b. A = s2. A = l • w. A = b • h. Triangle. Trapezoid. Circle h b h b1. 2 b r d. A = ? b • h. A = ? (b1 + b2) • h. A = ?r2 (? ? 3.14 or ). Circumference: C = 2?r = ?d. Volumes of Solid Figures. Cube. Rectangular Solid. Tutoring
All dimensions given in cm (not drawn to scale). For polygons with curved sides the perimeter is known as the circumference and is given by the formula Volume. = area of base x height. Rectangular Prism area of base = length x breadth volume. = length x breadth x height eg. calculate the volume of a block with a square
2(length width) 2(height width) 2(length height). SV. Bh area of base height. SA sum of the areas of the faces. SV. 1. 3. Bh. 1. 3 area of base height. SA. B. 1. 2. Pl area of base (. 1. 2 perimeter of base slant height). SV. Bh = area of base height. SA. 2B Ch (2 area of base) (circumference height). Shape. Formulas for Volume
Measurement. When to use. Level 7. Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving. (ACMMG159). Calculate volumes of rectangular prisms (ACMMG160) w
This formula now gives us a way to calculate the volumes of solids of revolution about the x-axis. Key Point. If y is given as a function of x, the volume of the solid obtained by rotating the portion of the curve between x = a and x = b about the x-axis is given by. V = ? b a ?y2dx. www.mathcentre.ac.uk. 3 c mathcentre 2009
FORMULAS FOR PERIMETER, AREA, SURFACE, VOLUME. Edited by Joanna Gutt-Lehr, PIN Learning Lab, 2007 math.about.com/library/blmeasurement.htm. Shapes. Formulas. Rectangle. Area = Length X Width. A = lw. Perimeter = 2 X Lengths + 2 X Widths. P = 2l + 2w. Parallelogram. Area = Base X Height. A = bh.
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