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# Ch 10 study guide

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### Ch 10 study guide

1. 1. PARENT STUDY GUIDEYES NO I know the formula for the area of triangleYES NO I know the formula for the area of a parallelogramYES NO I know the formula for the surface area of a parallelogramYES NO I know the formula for volumeYES NO I know the formula for the area of a circleYES NO I know the formula for the circumference of a circleYES NO I know the numerical value for piYES NO I know how to find the area of triangleYES NO I know how to find the area of a parallelogramYES NO I know how to find the surface area of a parallelogramYES NO I know how to find volumeYES NO I know how to find the area of a circleYES NO I know how to find the circumference of a circleYES NO I know the definition of face for a three-dimensional figureYES NO I know the definition of vertex for a three-dimensional figureYES NO I know the definition of edge for a three-dimensional figureYES NO I can identify a cylinderYES NO I can identify a cube (square prism) #1YES NO I can identify a rectangular prism #2YES NO I can identify a triangular prism #3YES NO I can identify a cylinder #4YES NO I can identify a rectangular pyramid #5YES NO I can identify a triangular pyramid #6YES NO I can identify a cone #7 7 3 41 2 5 6
2. 2. Cover this right side with a sheet of looeseleaf, try to solve each example, and then check your work. Lesson 10- 2 area of a triangle A = ½bh (Area = ½ base x height) A = ½•4•88 in A = ½• 32 in 4 A = 16 inches2 or A = 16 square inches8 in Lesson 10- 2 area of a parallelogram 7 ft. 3 ft. A = bh (Area = base x height) 7 ft. A = 7•3 3 ft. A = 21 square feet or A = 21 feet2 Lesson 10- 3 area of a composite figure Area = lw Area = bh Area = 4x6 Area = 2x4 Area = 24 Area = 8 Area = 108 + 8 Area = 116 ft2
3. 3. Lesson 10- 4Comparing Area & Perimeter When the original figure’s length and width multiplies by __2________, the perimeter multiplies by ____2____ and the area multiplies by ___22(4)_____.Lesson 10-5Circles EName the circle A DName the two radii of the circle. AB, AC, AD AName the chord of the circle. EC C BWhat does the diameter measure? 4cm 4cmWhat does the radius measure? 2cmcircumference of a circle (know how to solve when the diameter & radius are given) C= πd (Circumference = pi x diameter) (Cherry Pie is delicious) 18 cm C = 3.14 x 18 C = 56.62 cmarea of a circle (know how to solve when the diameter & radius are given) A = πr2 (Area = pi x radius squared) (Apple pies are too2) 4 ft. A = 3.14 x 42 A = 3.14 x 16 (be sure you do 4 x 4 NOT 4 x 2) A = 50.24 ft2 or A = 50.24 square feet
4. 4. Lesson 10-6Solid Figurescube (square prism) #1rectangular prism #2triangular prism #3cylinder #4rectangular pyramid #5triangular pyramid #6cone #7 7 3 4 1 2 5 6Lesson 10-7surface area of a rectangular prism top (& bottom) add the area for all six sides si 6 m de A front = 9 x 6 = 54 m2 front (& back) A back = 9 x 6 = 54 m2 5m 9m A top = 9 x 5 = 45 m2 A bottom = 9 x 5 = 45 m2 A left side= 6 x 5 = 30 m2 You can also A right side= 6 x 5 = 30 m2 multiply the area S = 258 m2 of one side by the number of sidessurface area of a triangular prism there are – referadd the area for all six sides to your notes. A front = ½ 3 x 4 = 6 m2 A back = ½ 3 x 4 = 6 m2 A side = 6 x 3 = 18 m2 A side = 6 x 3 = 18 m2 A side = 6 x 3 = 18 m2 4m 6m S = 66 m2 3m
5. 5. surface area of a cylinder 7cmBases Curved Surface A= πr2 C = πd 43.96cm A= 3.14 x 72 C = 3.14 x 14 A= 3.14 x 49____ C = 43.96cm 6cm 2 A= 153.86 cm A = bh x2 A = 43.96 x 6 A = 307.72 cm2 A = 263.76cm2 S = A of bases + A of curved surface 307.72 cm2 +263.76cm2 S = 571.48cm2Lesson 10-8volume of rectangular prism V = l x w x h (Volume = length x width x height) 6 cm V=5x4x6 V = 20 x 6 5 cm 4 cm V = 120 cm3 or V = 120 cubic cmvolume of triangular prism V = Bh (B=Area of bases:) A=½x4x2 A=½x8 A = 4 (= B) V=4x4 V = 16 un3
6. 6. volume of a cylinder V = πr2h V = 3.14 x 32 x 5 V = 3.14 x 9 x 5 V = 3.14 x 45 V = 141.3 V = 141.3un3