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Class 7 Maths MCQ Questions for Visualising Solid Shapes with Answers?

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Class 7 Maths MCQ Questions for Visualising Solid Shapes with Answers MCQ on Visualising Solid shapes class 7 with Answers provided below based on the latest curriculum and examination pattern. These objective questions are formulated by experts, according to the latest CBSE syllabus and NCERT curriculum. The chapter-wise multiple-choice questions are given at Sarthaks eConnect to make students learn each topic and help them to score good marks in exams.

We have provided below chapter-wise MCQ  Questions of Visualising Solid shapes class 7 with answers which will help the students to go through the entire syllabus and practice multiple choice questions provided here with solutions. These CBSE Class 7 Visualizing Solid Shapes Multiple Choice Questions have been developed and are available free for benefit of Class 7 students. Practice more and test your skills on Class 8 Maths Chapter 10 Visualising Solid Shapes MCQ Questions with answers given here.

Practice MCQ Questions for Class 7 Maths

1. The number of vertices of a cube is

(a) 8
(b) 12
(c) 6
(d) 3

2. The number of edges of a cube is

(a) 8
(b) 12
(c) 6
(d) 3

3. The number of faces of a cube is

(a) 8
(b) 12
(c) 6
(d) 3

4. If two cubes of edge 5 cm each is joined end to end, find the surface area of the resulting cuboid

(a) 250 cm2
(b) 350 cm2
(c) 400 cm2
(d) 500 cm2

5. What cross-sections do you get when you give a Vertical cut Horizontal cut To the following solids?

(a) A round apple
(b) A brick
(c) A die
(d) A circular pipe

6. What cross-section do you get when you give a horizontal cut to a brick?

(a) Triangle
(b) Circle
(c) Square
(d) Rectangle

7. The shadow of the lamp of an a cube when seen under overhead projector is

(a) square
(b) circle
(c) triangle
(d) rectangle

8. The number of faces of a rectangular prism is _______.

(a) 4
(b) 6
(c) 3
(d) None of these

9. The number of faces of a triangular pyramid or tetrahedron is _______.

(a) 4
(b) 6
(c) 5
(d) 1024

10. A cube has ______ faces. 

(a) 4 
(b) 5 
(c) 6 
(d) 8

11. The base of a prism is: 

(a) Circle 
(b) Triangle 
(c) Square 
(d) Any shape

12. If a polyhedron has 6 vertices and 12 edges. What is the number of faces it has? 

(a) 6 
(b) 8 
(c) 12 
(d) 18

13. Prisms and Pyramids are: 

(a) Polygons 
(b) Cubes 
(c) Polyhedrons 
(d) Spherical shapes

14. For a polyhedron, if ‘F’ stands for number of faces, V stands for number of vertices and E stands for number of edges, then which of the following relationships is named as Euler’s formula?

(a) F + V = E + 2 
(b) F + E = V + 2 
(c) V + E = F + 2 
(d) F+ V = E – 2

15. The top-view of a cone looks like: 

(a) A Circle 
(b) A Square 
(c) A Rectangle 
(d) A Triangle

16. The name of the shape is

(a) sphere 
(b) cylinder 
(c) cone 
(d) triangle

17. What is the difference between a rectangle and a cube? 

(a) A rectangle is 3-dimensional and a cube is 2-dimensional 
(b) A rectangle and a cube are both 2-dimensional 
(c) A rectangle is 2-dimensional and a cube is 3-dimensional 
(d) A rectangle and a cube are both 3-dimensional

18. Identify the false statement 

(a) A sphere has one flat surface 
(b) A cone has one flat face 
(c) A cylinder has two circular faces 
(d) A sphere has one curved face

19. A square pyramid always has …………... 

(a) Four lateral faces, which are parallel to each other 
(b) Four lateral faces, which are congruent equilateral triangles and a rectangular base 
(c) Two bases which are congruent and parallel 
(d) Four lateral faces, which are congruent isosceles triangles and a square base

20. In a triangular prism, what is the shape that forms the lateral faces? 

(a) Triangle 
(b) Circle 
(c) Rectangle 
(d) There are no lateral faces

21. Three dimensional shapes have :

(a) length, breadth, height
(b) length, breadth
(c) breadth height
(d) None of these

22. Rakesh has 10 one rupee coins of similar kind. He puts them exactly one on the other. What shape will he get finally?

(a) Circle
(b) Cylinder
(c) Cube
(d) Cone

23. The joint between separate faces of a solid is called an

(a) edge
(b) face
(c) vertex
(d) median

24. The number of faces of a cylinder is _______.

(a) 2
(b) 1
(c) 3
(d) None of these

25. The number of edges of a square pyramid is _______.

(a) 4
(b) 6
(c) 8
(d) None of these

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Answer:

1. Answer: (a) 8

Explanation: A cube has 6 faces, 8 Vertices, and 12 Edges. Then vertices in the cube are 8.

2. Answer: (b) 12

Explanation: In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

3. Answer: (c) 6

Explanation: Cube is a 3D solid object bounded by six square faces with three meeting at each vertex. Hence a cube has 6 faces.

4. Answer: (a) 250 cm2

Explanation: Edge of the cube =5 cm

After joining two cubes,

Total length, l=5+5=10cm

Breadth, b=5cm   and 

Height, h=5cm

∴   Surface Area =2(lb+bh+lh)

= 2(10×5+5×5+5×10)

= 2×125

=  250 cm2

5. Answer: (b) A brick

Explanation:  A brick has rectangles as its horizontal and vertical cross-sections. A round apple has circles as its horizontal and vertical cross-sections. A die has a square and rectangle as its horizontal and vertical cross-sections. A circular pipe has rectangle and circle as its horizontal and vertical cross-sections. Ice cream has a circle and triangle  as its horizontal and vertical cross-sections.

6. Answer: (d) Rectangle

Explanation: Rectangular cross-section obtained if we cut a brick horizontally.

7. Answer: (a) square

Explanation: Because when we see from the overhead projector in dark we will get a square as the shape of the cube is exact to a square.

8. Answer: (b) 6

Explanation: A rectangular prism is a 3-d solid shape that has 6 rectangular faces in which all the pairs of opposite faces are congruent. It has 8 vertices, 6 faces, and 12 edges. A few real-life examples of a rectangular prism include rectangular fish tanks, shoe boxes, etc.

9. Answer: (a) 4

Explanation: There are no other convex polyhedra other than the tetrahedron having four faces. The tetrahedron has two distinct nets (Buekenhout and Parker 1998).

10. Answer: (c) 6 

Explanation: A cube is a three-dimensional shape having six faces.

11. Answer: (d) Any shape 

Explanation: A pyramid is a polyhedron whose base is a polygon (of any number of sides) and whose lateral faces are triangles with a common vertex.

12. Answer: (b) 8 

Explanation: By Euler’s formula we know that: 

For any polyhedron, F + V – E = 2

F = 2-V+E 

F = 2 – 6+12  

= 8

13. Answer: (c) Polyhedrons 

Explanation: Two important members of polyhedron family are prism and pyramid. A prism is a polyhedron with two congruent bases, in parallel planes, and the lateral sides are rectangles. A pyramid is a polyhedron with one base and all the lateral sides meet at a common vertex. The lateral sides are triangles.

14. Answer: (a) F + V = E + 2 

Explanation: We know that Euler's formula is given as: F +V = E + 2 where F is the total number of Faces in the given solid. V is the total number of the vertices. E is the total number of edges.

15. Answer: (a) A Circle 

Explanation: The base of a right-cone is always circular. When we see it from the top, it looks like a circle with its vertex as the center of the circle.

16. Answer: (c) cone 

Explanation: It has 2 faces → 1 curved face and 1 flat face. It has 1 curved edge. it is Cone.

17. Answer: (c) A rectangle is 2-dimensional and a cube is 3-dimensional 

Explanation: The difference in rectangle and cube is that, a rectangle is a 2-dimensional figure where the length and the breadth of the geometry are specified. A cube is a 3- dimensional figure where the length, breadth and depth of the geometry are specified.

18. Answer: (a) A sphere has one flat surface 

Explanation: Statement(A) is false, as there is no flat surface in a sphere.

19. Answer: (d) Four lateral faces, which are congruent isosceles triangles and a square base

Explanation: All square pyramids have: a square base, four triangular sides, five vertices, eight edges. A square pyramid can be called a pentahedron because it has five faces: four triangle faces and one square face.

20. Answer: (c) Rectangle 

Explanation: Triangular prisms are three-dimensional figures formed by putting rectangles and triangles together. The bases are triangles. So, the lateral faces are formed by rectangles.

21. Answer: (a) length, breadth, height

Explanation: Three-dimensional shapes occupy space and have three demensions.

22. Answer: (b) Cylinder

Explanation: It is a cylinder. When we place 10 coins, which are of circular shape, one over another they form a cylinder.

23. Answer: (a) edge

Explanation: A face is a flat surface. An edge is where two faces meet. A vertex is a corner where edges meet.

24. Answer: (c) 3

Explanation: A cylinder has three faces, two circular faces and one curved face.

25. Answer: (c) 8

Explanation: The square pyramid has the square base and the triangular sides so it has four edges of the square and the four edges of the triangular shape. So, in total a square pyramid has eight edges.

Click here for Practice MCQ Questions for Visualising Solid Shapes Class 7

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