Report

Triangles, Quadrilaterals, Nets, Prisms & Composite Polygons PARALLELOGRAM A=bxh TRIANGLE A=bxh 2 TRAPEZOID 1) add the top & bottom bases 2) multiply the sum by height 3) divide by 2 A = (b1 + b2) x h 2 Area = b x h 2 5 cm x 8 cm = 40 cm2 = 20 cm2 2 2 __________________________________________________ 4in Area = b x h 2 6 cm x 6 cm = 36 cm2 = 18 cm2 2 2 __________________________________________________ Area = b x h 10 cm x 5 cm = 50 cm2 = 25 cm2 2 2 2 A=bxh 10.3 cm x 6.2 cm = 63.86 cm2 _________________________________ A=bxh 10 cm x 3 cm = 30 cm2 _________________________________ A=bxh 8 cm x 6 cm = 48 cm2 A = (b1 + b2) x h 2 1) 4 ft + 6 ft = 10 ft 2) 10 ft x 2 ft = 20 ft2 3) 20 ft2 ÷ 2 = 10 ft2 _____________________________________________ A = (b1 + b2) x h 2 1) 2 ft + 4 ft = 6 ft 2) 6 ft x 5 ft = 30 ft2 3) 30 ft2 ÷ 2 = 15 ft2 _____________________________________________ A = (b1 + b2) x h 2 1) 7 ft + 8 ft = 15 ft 2) 15 ft x 4 ft = 60 ft2 3) 60 ft2 ÷ 2 = 30 ft2 A Composite Polygon is an irregular polygon made up of different polygons. To find the AREA OF A COMPOSITE POLYGON, first break the polygon into simpler parts. This shape breaks down into these two shapes. So… find the area of each of the two areas separately and add the areas together. Part A Part B Area of Part A: 1.7 cm x 4.9 cm = 8.33 cm2 Area of Part B: 2.1 cm x 1.3 cm = 2.73 cm2 The Composite Polygon’s Area is the total of the two parts: 8.33 cm2 + 2.73 cm2 = 11.06 cm2 Total Surface Area Find the area of each shape separately, then add the areas together. 1 4 6 2 5 3 AREA OF RECTANGLE 1: 3 CM X 2 CM = 6 CM2 AREA OF RECTANGLE 2: 6 CM X 2 CM = 12 CM2 AREA OF RECTANGLE 3: 3 CM X 2 CM = 6 CM2 AREA OF RECTANGLE 4: 6 CM X 2 CM = 12 CM2 AREA OF RECTANGLE 5: 3 CM X 6 CM = 18 CM2 AREA OF RECTANGLE 6: 3 CM X 6 CM = 18 CM2 TOTAL SURFACE AREA: 6 + 12 + 6 + 12 + 18 + 18 = 96 CM2 Area of Base x Height of Prism Height of Prism The triangle is the BASE of the Prism 1) Identify the shape of the base: Triangle 2) What is the formula for area for that shape: (b x h) / 2 3) What is the area of the base: (7 x 8) / 2 = 56/2 = 28 4) What is the height of the prism: 13 5) What is the formula for volume: area of base x height of prism 6) What is the volume of the prism: 28 x 13 = 364 Identify the shape of the base: Square 2) What is the formula for area for that shape: bxh 3) What is the area of the base: 3 cm x 5 cm = 15 cm2 4) What is the height of the prism: 4 cm 5) What is the formula for volume: area of base x height of prism 6) What is the volume of the prism: 15 cm2 x 4 cm = 60 cm3