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Formative - Unit 5 Assessment (Geometry) Multiple Choice. Each question is worth 3 points. Partial credit may be awarded if work is shown. If there is no work shown and the answer is incorrect, you will recieve no credit. Section Total: 9 points ____ 1. What is the volume of a sphere with a radius of 10 cm? a. 4188.79 cm³ c. 1675.52 cm³ b. 418.88 cm³ d. 33510.32 cm³ ____ 2. What is the surface area of the figure shown below? a. 324 cm² b. 312 cm² ____ c. 648 cm² d. 336 cm² 3. Find the total area of the ring shown below. a. 51.1 in² b. 65 in² c. 204.2 in² d. 15.7 in² Protractor Section. Use of a protractor is required for all questions in the part. Complete all three parts of each question. Each question is worth 6 points. Section Total: 12 points 4. a) Draw an angle of 163º in the space below. b) Label the angle as in your diagram above. c) Classify the angle by its size on the line to the right. ___________________ 5. a) Measure the angle and record the measurement on the line to the right. __________________ b) Label the angle as in the picture above. c) Classify the angle by its size on the line to the right. __________________ Applications. Each question in this part is worth 6 points. Each question is structured to help you see all steps you must complete. All work must be shown for full credit. Section Total: 18 points 6. How many boxes 16 in. by 12 in. by 10 in. will fit in 1250 ft³ of warehouse space? (1 ft³ = 1728 in³) . 7. How much wire is needed to anchor a 30 foot pole to a spot 20 feet from its base? Allow of a foot for fastening and round your answer to the nearest tenth of a foot. a) Find the length of the wire b) Find the total length needed for fastening, and round your answer appropriatly . 8. What must be the height of a cylindrical 750-gallon tank if it is 4 ft in diameter? (1 ft³ 7.48 gal) Round to the nearest foot. a) Look at the units of your answer. If you need to convert to a new unit, do so first. b) Determine the shape and what formula you will use. (Write it below) c) Substitute all values that you know into the formula and solve for whichever value is missing. (Include units) . Calculations. Each question is worth 4 points. All work must be shown for full credits. Total: 16 points 9. (figure not drawn to scale) Find the measure of the missing angles. ________º ________º 10. Find the lateral area and round to the nearest tenth. Include units in your answer. 11. Find the volume of the figure shown and round your answer to the nearest thousandths. Include units in your answer. 12. a) Find the area of the figure above (include units) ___A =______________________ b) Find the perimeter of the figure above (include units) _P =_______________________ Formative - Unit 5 Assessment (Geometry) Answer Section MULTIPLE CHOICE 1. ANS: A 2. ANS: C 3. ANS: A PTS: 1 PTS: 1 PTS: 1 SHORT ANSWER 4. ANS: drawing, labelling, obtuse PTS: 1 5. ANS: 112º, labelling, obtuse PTS: 1 PROBLEM 6. ANS: 1125 boxes PTS: 1 7. ANS: 36.4 PTS: 1 8. ANS: 8 in. PTS: 1 ESSAY 9. ANS: 85, 125 PTS: 1 10. ANS: 59.2 ft² PTS: 1 11. ANS: 443.488 mm³ PTS: 1 12. ANS: 145 in², 74 in. PTS: 1