Name: ________________________________________ Date: _______________ Period: ______ Chapter 9 Review Sheet Test Friday 02/26/2015 All questions are to be neat, complete, organized, and correct on separate paper in pencil with your name on top and stapled. Check your answers online to ensure your answers are correct before turning the packet in. All instructions must be followed to receive +5 credit. Questions 1-4: Use the Square Prism on the right: 1) 2) 3) 4) Name a pair of parallel lines Name a pair of perpendicular lines Name a pair of parallel planes (planes are named by 3 points on the plane) Name a pair of congruent lines Questions 5-10: For each figure below, find: a) The volume b) The lateral area c) The surface area ( ↓ don’t forget about Pythagorean theorem for these two! ↓ ) 5) Right pyramid with square base, nearest tenth 8) Right Cylinder in terms of π 6) Right Cone, nearest tenth 7) Triangular Prism 9) Sphere (no lateral area) in terms of π 10) Cube with sides of 11ft Questions 11-14: For each regular figure, find the measure of one interior angle and one exterior angle. Round to the nearest hundredth if necessary. To check your answers: Remember that one interior angle and one exterior angle are ___________________ 11) Heptagon 12) Octagon 13) Decagon 14) Dodecagon Name: ________________________________________ Date: _______________ Questions 15-17: For each irregular figure, solve for x as indicated: 15) 16) Period: ______ 17) Questions 18-20: Find the area of each irregular figure 18) 19) 20) Questions 21-23: Using the density formula, solve each question. 21) A rectangular block of aluminum measures 9m by 8m by 17m, and weighs 40.5 g. What is its density? 22) The density of a solid right cylinder is 1.95 lb/ft3. The cylinder is 15 feet high and weight 828 pounds. What is the radius of the cylinder, rounded to the nearest whole number? What is its lateral area? 23) Mercury is poured into a container that holds exactly 22.5 mL. The density of mercury is approximately 13.6zg/mL3. From this information, calculate the mass of the mercury that the container can hold. Don’t forget – Tests are cumulative! Spend some time practicing with the review questions from each homework this chapter! Name: ________________________________________ Date: _______________ Period: ______ Chapter 9 Review Sheet Answer Key ALL WORK must be shown. Simply writing the answer is NOT enough to earn extra points! Every formula, every plug-in, every step, and every correct answer. 1) 2) 3) 4) ̅̅̅̅ . (You can’t use this answer - find another one of your own!) ̅̅̅̅ ∥ 𝐺𝐹 So many options! For example, 𝐻𝐸 ̅̅̅̅ So many options! For example, 𝐻𝐸 ⊥ ̅̅̅̅ 𝐸𝐴. (You can’t use this answer - find another one of your own!) So many options! For example, 𝑃𝑙𝑎𝑛𝑒 𝐸𝐻𝐺 ∥ 𝑃𝑙𝑎𝑛𝑒 𝐴𝐵𝐶. (You can’t use this answer - find another one of your own!) So many options! For example, ̅̅̅̅ 𝐴𝐸 ≅ ̅̅̅̅ 𝐵𝐹 . (You can’t use this answer - find another one of your own!) 5) V=266.7 units3 6) V=370.2 units3 7) V=144 cm3 LA=188.7 units2 LA=235.6 units2 LA=216 cm2 SA=288.7 units2 SA=314.1 units2 SA=240 cm2 8) V=45π units3 9) V=273.8π yd3 10) V=you tell me… LA=30π units2 LA=-----------LA=484 ft3 SA=you tell me… SA=139.2π yd2 SA=726 ft3 11) Interior = 128.57˚ 12) …you tell me… 13) Interior = 144˚ 14) …you tell me… Exterior = 51.43˚ Exterior = 36˚ 15) x = 140 16) x = 42 17) x = 20 18) A = Arectangle + Atriangle A = 323 + 270=593 in2 19) A = Arectangle + Arectangle + Atriangle + Acircle A = 192 + 192 + 96 + 50π = 637.1 units2 20) Too easy! 21) D = 0.0331 𝑔/𝑚3 22) r = 9 LA = 565.5 ft2 23) m = 306 g (needed pythag theorem to find slant height) (needed pythag theorem to find height) (needed pythag theorem to find the height contained in the base triangle)