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Class 11 Mathematics Chapter 12 Introduction To Three Dimensional Geometry Quiz 5 (20 MCQs)

Quiz Instructions

Select an option to see the correct answer instantly.

1. What is the name of a 3D shape that has 8 vertices and 12 edges?

Correct Answer: C) Cube.

2. Which option does not give an example of object in spherical shape?

Correct Answer: C) Earth.

3. Name That Polyhedron-a prism with two identical, triangular bases.

Correct Answer: A) Triangular Prism.

4. Jim made a rectangular prism whose length is 4 in, height 10 in and width 6 in. Find the volume of a rectangular prism

Correct Answer: B) 240 in$^{3}$.

5. I am a solid shape. I have only one curved face, no edge and no corner. Who am I?

Correct Answer: A) Sphere.

6. How can you determine if three points A, B, and C are collinear in three-dimensional space?

Correct Answer: C) By checking if the direction ratios of AB and AC are proportional.

7. What is the relationship between direction cosines and the unit vector of a line?

Correct Answer: C) Direction cosines are the components of the unit vector.

8. A soda can is what shape?

Correct Answer: D) Cylinder.

9. The coordinates of a point are (0, -1, 0), the point lies on

Correct Answer: B) Y-axis.

10. What do you call a triangle with two sides are equal?

Correct Answer: D) Isosceles Triangle.

11. Find the distance between the given parallel planes:-2x-3y + z = 4 and-6x-9y + 3z = 11

Correct Answer: D) $\frac{1}{\sqrt{126}}units$.

12. Which 3D shape has 5 faces, with 4 of them being triangular and 1 being a pentagon?

Correct Answer: D) Triangular pyramid.

13. The direction cosines of the normal to the plane 5y + 4 = 0 are

Correct Answer: C) 0, -1, 0.

14. The image of the point P(1, 3, 4) in the plane 2x-y + z = 0 is:

Correct Answer: A) (-3, 5, 2).

15. Name a 3D shape that has only 2 faces.

Correct Answer: A) Cone.

16. What is the distance between parallel lines?

Correct Answer: B) |b(x(a2-a1))|/|b|.

17. A silo in the shape of a cylinder is partially filled with corn to feed cows. The corn fills 50% of the height of the silo. What is the approximate volume of the part of the silo that is filled with corn if the silo is 12 feet in diameter and 60 feet high?

Correct Answer: B) 3391.2 ft$^{3}$.

18. The end-points of a diameter of a sphere are (2, -1, 4) and (0, 5, -4), then the centre of the sphere is

Correct Answer: C) . (1, 2, 0).

19. Name That Polyhedron-a prism with two identical rectangular bases.

Correct Answer: D) Rectangular Prism.

20. What is the shortest distance between two skew lines?

Correct Answer: B) The length of the perpendicular drawn from one line to the other.

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