Name: Period: 2018 Geometry Spring Final Exam Review
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1 2018 Geometry Spring Final Exam Review 1. Find the number of lunch combinations that can be created if you order a soup, sandwich, drink and dessert. There are 4 soup choices, 5 sandwich choices, 3 drink choices and 4 dessert choices. 2. Find the lateral surface area of the following figure. 3. Find the volume of a sphere with a diameter of 8 feet. 4. What is the area of the quadrilateral? 5. Find the value of x.
2 6. Find the value of x. 7. Find the area of the trapezoid. 8. Find the area of the figure, round to the nearest hundredth. 9. Make a table to represent the sample space of tossing a coin twice.
3 10. Find the volume of the following figure. 11. Find the value of x. 12. Find the lateral surface area of a regular square pyramid with a base length of 10 m and a slant height of 15 m. 13. A 6 foot tall student casts a 3 foot shadow. If the flag pole next to her casts a 10 foot shadow, what is the height of the flag pole? 14. Given the pre image A (-3,-2), which coordinates represent the image after a reflection over the y axis.
4 15. What is the probability of a random point being chosen in the shaded region? 16. Find the measure of x. X 17. The radius of a cone is 10 inches and height is 4 inches. Find the surface area to the nearest tenth. 18. Dilate the figure with the given vertices by a scale factor of 1 2. A(-4,-2), B(6,8), C(10, -2) 19. What shape is the cross section for the following?
5 20. A person on an aircraft carrier spots an airplane at a 20 angle of elevation. The airplane s altitude is 10,000 feet. What is the airplane s surface distance from the aircraft carrier? 21. Find the value of x. 22. Find the value of x. N R T 240 x M S
6 23. Points A(1,4), B(-3,-2) and C(0,-4) are reflected across the x axis and then rotated 90. What are the coordinates of the image after the transformations? 24. Solve for the missing side length of the right triangle. 25. Find the perimeter of the quadrilateral.
7 26. Give the coordinates of the image of A (1, -3) after the composition of transformations 27. Match the equation to the corresponding properties of a circle: 28. Find the area of the regular polygon:
8 29. What type of transformation is shown? 30. The owners of Neatly Packaged Company make a cylindrical container that has the dimensions shown below. What is the approximate lateral surface area available for the package label? 3.5 in. 12 in.
9 Tell whether each statement is True or False A The volume of the prism depends on the product of only the length and the width. B The volume of the prism depends on the product of only the length and the height. C The volume of the prism depends on the product of the length, the width, and the height. D The volume of the prism depends on the product of only the width and the height. 32. An astronomer mathematically expressed the amount of space occupied by Earth. She reported Earth s. A radius B. volume C. surface area D circumference 33. A triangular prism is shown below. 34. Oatmeal is packaged in a cylindrical container drawing. with the dimensions shown in the drawing. 10 in. 8 in. 6 in. 8 in. OATMEAL 18 cm What is the volume of this triangular prism? 10 cm Find the approximate volume of this oatmeal container. 35. Which two 3-dimensional figures have the same number of faces? A B C D A triangular prism and a square pyramid A triangular prism and a rectangular prism A triangular pyramid and a square pyramid A triangular pyramid and a rectangular prism
10 18 in. 36. The net of a cylinder is shown below with dimensions. What is the total surface area of this cylinder to the nearest cm? 1 cm 4.5 cm 37. A solid built with cubes is shown below. What is the least number of cubes needed to build the shape above? 38. A company plans to design a new version of its Millennium Doll that will be larger than the old version. The figure below shows the dimensions of the box for the old version of the doll. If all the dimensions of the box are increased by 2 inches for the new doll, what will be the total surface area of the new box? 10 in. 6 in.
11 39. The lengths of the bases of an isosceles trapezoid are shown below. 20 units 8 units If the perimeter of this trapezoid is 48 units, what is its area? 40. To estimate the height of her school s gym, Nicole sights the top of the gym wall in a mirror that she has placed on the ground. The mirror is 3.6 meters from the base of the gym wall. mirror 1.8 m 3.6 m 0.5 m Nicole is standing 0.5 meters from the mirror, and her height is about 1.8 meters. What is the height of the gym wall?
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