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Class 11 Mathematics Chapter 12 Introduction To Three Dimensional Geometry Quiz 4 (25 MCQs)

Quiz Instructions

Select an option to see the correct answer instantly.

1. Flat shape which can be folded up into a three dimensional object.

Correct Answer: B) Net.

2. Name the octant in which the points (4, -2, -5) lies.

Correct Answer: C) VIII.

3. Shawn is placing a fence around a circular garden with a 15-foot diameter. How many feet of fencing will Shawn need to buy to enclose the garden? Use 3.14 for $\pi$

Correct Answer: B) 48 feet.

4. Which shapes are used to create a tangram?

Correct Answer: D) All of the above.

5. What is the equation of a line through a point (x1, y1, z1) with direction cosines l, m, n?

Correct Answer: A) (x-x1)/l = (y-y1)/m = (z-z1)/n.

6. The triangle is called like that because .....

Correct Answer: B) It has three angles.

7. Kim's aquarium is a rectangular prism. If the aquarium has a length 48 inches, a width of 36 inches and a height of 30 inches, what is the aquarium's volume?

Correct Answer: B) 51, 840 in$^{3}$.

8. The cartesian equation of the line is $\frac{x-1}{2}=\frac{y+2}{3}=\frac{z-5}{-1}$

Correct Answer: A) $\overrightarrow{r}=\left(i-2j+5k\right)+\lambda\left(2i+3j-k\right)$.

9. Find the coordinates of the point where the line $\frac{x-2}{3}=\\frac{y+1}{4}=\frac{z-2}{2}$

Correct Answer: B) (2, -1, 2).

10. What are the direction cosines of a line, if direction ratios of the line are 2, -1.-2?

Correct Answer: B) $\frac{2}{3}, \frac{-1}{3}, \frac{-2}{3}$.

11. What is the volume of a 3-D shape with the following dimensions:L=10 in, W=3 in, & H=5 in?

Correct Answer: B) 150 in$^{3}$.

12. What is the shortest distance between two lines?

Correct Answer: D) (x-x1)/a1 = (y-y1)/b1 = (z-z1)/c1 and (x-x2)/a2 = (y-y2)/b2 = (z-z2)/c2.

13. The perpendicular distance of the point P(6, 7, 8) from the XY-Plane is:

Correct Answer: A) 8.

14. A point on the x-axis. What are its y-coordinate and z-coordinate?

Correct Answer: A) Y = 0, z = 0.

15. If two lines are parallel, what can be said about their direction ratios?

Correct Answer: D) They are proportional.

16. To calculate the amount of cardboard needed to make a cereal box, which of the following should you find:

Correct Answer: C) Surface Area.

17. Identify the net of a pyramid from the given options:a) b) c)

Correct Answer: A) .

18. The side of a 3D shape is called a ..... ?

Correct Answer: C) Face.

19. Planes 3x-2y-z =-1 and 15x-10y-5z + 4 = 0 are

Correct Answer: C) Parallel.

20. What is the vector equation of a line passing through a point A and parallel to a vector b?

Correct Answer: D) R = a + $\lambda$b.

21. A polygon .....

Correct Answer: C) A 2-D shape formed by three or more straight sides.

22. What 3D shape does the net shown in the image represent?

Correct Answer: C) Cube.

23. Which are the examples of objects in cylindrical shape?

Correct Answer: D) All of the above.

24. The centroid of the triangle with vertices (5, -6, 3), (2, -2, 1) and (2, 5, 2) is

Correct Answer: D) . (3, -1, 2).

25. A point is on the x-axis. Which of the following represent the point?

Correct Answer: C) (x, 0, 0).

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