Class: Date: TEST REVIEW: UNIT 8 Surface Area 2018 Find the area. The figure is not drawn to scale. 1. 5. Find the area. All lengths are in centimeters. Round answer to the nearest tenth. 2. 6. A can of paint will cover 70 square feet. How many cans of paint are needed to paint a wall 5 feet high and 98 feet long? 7. If the area of the triangle is 48 square millimeters, find the value of x. 3. Find the area of the parallelogram. 8. A school ordered a trapezoidal activity table as shown in the figure. Find the area of the table. 4. Find the area of a regular hexagon with a side length 3 and apothem 10. 1
9. Find the area of the figure. Round to the nearest tenth if necessary. 13. Find the area of the regular polygon. 10. Given: AC BD If AC = 18 and BD = 15, find the area of kite ABCD. 14. A regular hexagon has an apothem of 2 and a side length of 4 3 3. Its area is. 11. A goldsmith designed a trapezoidal pendant as shown in the figure. If the perpendicular distance between AB and CD is 6 centimeters and area of the pendant ABCD is 36 square centimeters, find the length of the side CD. 15. Find the area of the shaded region in the regular polygon. 16. 12. The area of the figure is 96in 2. Find the value of x. 2
17. Find the approximate area of the Shaded Region within the regular polygon. Round your answer to the nearest tenths if necessary. 21. A park has a circular swimming pool. The diameter of the pool is 20 m. What is the distance traveled if you swim around the edge of the pool once? Useπ 3.14. Find the area of the circle. Use 3.14 for π and round the answer to the nearest hundredth. 22. with a radius of 21 centimeters 18. Find the area of the circle. Leave your answer in terms of π. 23. Find the area of a circle having a circumference of 42π. Round to the nearest tenth. Use 3.14 for pi. 24. Find the surface area of a sphere with a diameter of 7 meters. Round to the nearest hundredth. 25. A restaurant has a concrete patio with a semicircular end, as shown in the figure below. What is the area of the patio, in square feet? Use 3.14 for π 19. Find the circumference. Leave your answer in terms of π. 20. A circle has a circumference of 26 meters. Find its diameter. A. 3873 square feet B. 5376 square feet C. 5797 square feet D. 3363 square feet 3
Find the surface area of each prism. Round to the nearest tenth if necessary while doing your calculations as well as in your final answer. 26. 27. 29. Find the surface area of the cylinder. Use 3.14 for pi and round your answer to the nearest tenth. 28. 30. Find the lateral area of the cone. Use 3.14 for π. Round to the nearest tenth if necessary. 31. Find the diameter of a sphere that has a surface area of 81π in 2. 4
32. Find the surface area of the lateral faces on the regular pyramid below. Find the surface area of the cone. Use 3.14 for π and round the answer to the nearest hundredth. 36. 33. A regular pyramid has a base area of 6 3 in. 2, a base perimeter of 12 in., and a slant height of 4 3 in. Its surface area is. 34. The pyramid shown has a rectangular base and faces that are isosceles triangles. Find the total surface area to the nearest tenth. 35. Find the surface area of the regular pyramid. 5
TEST REVIEW: UNIT 8 Surface Area 2018 Answer Section 1. 20 yd 2 2. 156 cm 2 3. 96 in 2 4. 90 5. 8.03 cm 2 6. 7 7. 16 mm 8. 630 in 2 9. 416 m 2 10. 135 sq. units 11. 4 cm 12. 6 in 13. 45 km 2 14. 8 3 sq. units 15. 594 cm 2 16. 105 yd 2 17. 34.4yds 2 18. 81π m 2 19. 40π in. 20. 8.28 m 21. 62.80 m 22. 1384.74 cm 2 23. 1384.7 units 2 24. 153.94 m 2 25. A.3873 square feet radius of semi-circle is 35ft 26. 168 units 2 27. 164 units 2 28. 326.6 ft 2 29. 1150.2 ft 2 30. 141.3 ft 2 31. 9 in. 32. 336 ft 2 33. 30 3 in. 2 34. 109.2 ft 2 35. surface area = 325.5 cm 2 36. surface area = 1666.21 m 2 1