This quiz works best with JavaScript enabled. Home > Cbse > Class 12 > Science > Mathematics > Class 12 Mathematics Chapter 11 Three Dimensional Geometry – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 11 Three Dimensional Geometry Quiz 1 (27 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. In aviation modeling, why is finding the angle between two flight paths important? A) To measure aircraft speed. B) To maintain safe separation between aircraft. C) To find flight duration. D) To calculate ticket prices. Show Answer Correct Answer: B) To maintain safe separation between aircraft. 2. A pyramid has a volume of $1, 944\in.^3$ A) 12 in. B) 24 in. C) 36 in. D) 4 in. Show Answer Correct Answer: C) 36 in. 3. Which object is like a cylinder? A) TV. B) Coke Can. C) Box. D) None of the above. Show Answer Correct Answer: B) Coke Can. 4. Given a cube ABCD.EFGH with a edge length of 16 cm. The distance from point B to point E is ..... A) $8\sqrt{2}$. B) $16\sqrt{2}$. C) $8\sqrt{3}$. D) $16\sqrt{3}$. E) $12\sqrt{3}$. Show Answer Correct Answer: B) $16\sqrt{2}$. 5. You are painting the top and sides of two cube-shaped boxes. If the edge of each box is 2.6 feet long, what is the surface area you would have to paint, if you don't paint the bottom of either box? A) 67.6 ft$^{2}$. B) 33.8 ft$^{2}$. C) 6.76 ft$^{2}$. D) 17.58 ft$^{2}$. Show Answer Correct Answer: A) 67.6 ft$^{2}$. 6. What type of figure has 8 congruent sides and 8 congruent angles? A) Octagon. B) Hexagon. C) Pentagon. D) Heptagon. Show Answer Correct Answer: A) Octagon. 7. Two flight paths are represented by vectorsa1= (2, 4, 6) and a2=(2, 4, 6).What can you conclude about these two paths? A) They are intersecting. B) They are parallel. C) They are perpendicular. D) They are skew lines. Show Answer Correct Answer: B) They are parallel. 8. If a rectangular prism's volume is 420cm$^{3}$. The prism has a length of 12cm, and width of 7cm, what is height of the rectangular prism? A) 420cm. B) 12cm. C) 84cm. D) 5cm. Show Answer Correct Answer: D) 5cm. 9. What object is like a cone? A) Tissue Box. B) Clorox Wipes. C) Ice Cream. D) None of the above. Show Answer Correct Answer: C) Ice Cream. 10. A cube ABCD.EFGH with an edge length of 6 cm. If point O is the midpoint of BD, the distance from point E to point O is ..... A) $3\sqrt{3}$. B) $3\sqrt{6}$. C) $3\sqrt{2}$. D) $6\sqrt{3}$. E) $6\sqrt{2}$. Show Answer Correct Answer: B) $3\sqrt{6}$. 11. What is the sign of the function $\cos220$ A) Positive. B) 0. C) Undefined. D) Negative. Show Answer Correct Answer: D) Negative. 12. Which of the following statements is true regarding the direction cosines? A) They cannot be zero. B) They are always equal. C) They must all be positive. D) They can be negative or positive. Show Answer Correct Answer: D) They can be negative or positive. 13. Point P is the intersection point of the upper face diagonal of cube ABCD.EFGH with an edge length of 6 cm. The distance from point B to P is ..... cm A) 9. B) 6. C) $2\sqrt{6}$. D) $3\sqrt{6}$. E) $6\sqrt{3}$. Show Answer Correct Answer: D) $3\sqrt{6}$. 14. Which statement is true about every rectangular pyramid? A) Each lateral face has an area less than the area of the base. B) At least two of the lateral faces are congruent. C) At least one of the faces has a whole number base or height. D) Each lateral face has the same height. Show Answer Correct Answer: B) At least two of the lateral faces are congruent. 15. The equation x = b represents a plane parallel to ..... plane. A) Yz-plane. B) Xz-plane. C) Zx-plane. D) None of the above. Show Answer Correct Answer: A) Yz-plane. 16. What shapes are stacked together to get a cylinder? A) Oval. B) Semicircle. C) Star. D) Circle. Show Answer Correct Answer: D) Circle. 17. A cylindrical water tank has a radius of 11.5 feet and is filled with approximately 3680 cubic feet of water. Which of the following is the best estimate of the depth of the water tank? Round your answer to the nearest tenth of a foot. A) 8.9 ft. B) 27.8 ft. C) 101.9 ft. D) 32.5 ft. Show Answer Correct Answer: A) 8.9 ft. 18. Perpendicular distance of the point P (3, 5, 6) from y-axis is ..... A) $\sqrt{45}$. B) 5. C) $\sqrt{34}$. D) $\sqrt{61}$. Show Answer Correct Answer: A) $\sqrt{45}$. 19. A rectangular pyramid has a volume of $1512\in.^3$ A) 2 in. B) 6 in. C) 18 in. D) 12 in. Show Answer Correct Answer: C) 18 in. 20. The point (4, 5, -6) lies in the A) VII th octant. B) VI th octant. C) VIII th octant. D) V th octant. Show Answer Correct Answer: D) V th octant. 21. The y-axis and z-axis, together determine a plane known as A) Xy-plane. B) Xz-plane. C) Yz-plane. D) None of the above. Show Answer Correct Answer: C) Yz-plane. 22. What does volume measure? A) The amount of space occupied by a two-dimensional solid object. B) The total area of all the surfaces of a three-dimensional solid object. C) The amount of space inside the boundary of a two-dimensional object. D) The amount of space occupied by a three-dimensional solid object. Show Answer Correct Answer: D) The amount of space occupied by a three-dimensional solid object. 23. Which of the following is true for skew lines? A) They are coplanar and intersect. B) They are non-coplanar and do not intersect. C) They are parallel and equidistant. D) They lie in the same plane but do not meet. Show Answer Correct Answer: B) They are non-coplanar and do not intersect. 24. Given a cube ABCD.EFGH with a edge length of 13 cm. The distance from point C to point E is ..... A) $13\sqrt{2}$. B) $14\sqrt{3}$. C) $12\sqrt{2}$. D) $13\sqrt{3}$. E) $12\sqrt{3}$. Show Answer Correct Answer: D) $13\sqrt{3}$. 25. Valerie cut a cone from a cylinder made of styrofoam. The circumference of the base of the cylinder is 12.56 inches. The height of the cylinder is is 5 inches. What is the approximate volume of the cone if it has the same base area and height as the cylinder? A) 20.93 in$^{3}$. B) 206.39 in$^{3}$. C) 62.8 in$^{3}$. D) 139.32 in$^{3}$. Show Answer Correct Answer: A) 20.93 in$^{3}$. 26. I have 3 congruent sides and all 3 of my angles are less than 90 degrees. What am? A) Equilateral, acute triangle. B) Parallelogram. C) Scalene, obtuse triangle. D) Trapezoid. Show Answer Correct Answer: A) Equilateral, acute triangle. 27. An oatmeal container has a diameter of 7 inches and a volume of 346.185 in$^{3}$. What is the lateral surface area of the oatmeal container? A) 174.52 in$^{2}$. B) 692.37 in$^{2}$. C) 197.82 in$^{2}$. D) 98.91 in$^{2}$. Show Answer Correct Answer: C) 197.82 in$^{2}$. 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