CBSE Class 7 Mathematics Visualising 3D Shapes MCQs Set 02

Practice MCQs for Class 7 Mathematics Visualising 3D Shapes

Explore reliable objective questions for Visualising 3D Shapes tailored for Class 7 learners. Utilizing these Mathematics multiple-choice formats ensures thorough preparation and strengthens problem-solving speed for upcoming school assessments.

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Navigate directly to the 50 objective questions for Visualising 3D Shapes using the digital viewer below. Each practice set includes verified answer keys, allowing students to instantly cross-check their work and identify areas requiring further revision.

Multiple Choice Questions

Question 1: A polyhedron has 9 edges and 6 faces. The number of vertices is
(a) 6
(b) 4
(c) 5
(d) 3
Show Answer & Explanation

Answer: (c) 5

Explanation:
1. V = E - F + 2 = 9 - 6 + 2 = 5.

Teacher's Note:
1. Euler's formula for a solid: F + V - E = 2, where F is faces, V vertices and E edges.
2. Re-check the answer by substituting back into the question.

Question 2: The number of faces of a cylinder (including curved surface treated as one) is
(a) 2
(b) 3
(c) 4
(d) 1
Show Answer & Explanation

Answer: (b) 3

Explanation:
1. Two circular faces and one curved face.

Teacher's Note:
1. A cylinder is not a polyhedron because it has a curved surface.
2. Re-check the answer by substituting back into the question.

Question 3: A cone has how many vertices?
(a) 1
(b) 0
(c) 2
(d) 3
Show Answer & Explanation

Answer: (a) 1

Explanation:
1. The apex is the only vertex.

Teacher's Note:
1. A cone has one circular flat face and one curved surface.
2. Re-check the answer by substituting back into the question.

Question 4: A sphere has how many vertices?
(a) 1
(b) 2
(c) infinite
(d) 0
Show Answer & Explanation

Answer: (d) 0

Explanation:
1. A sphere has no vertices or edges.

Teacher's Note:
1. A sphere has one curved surface.
2. Re-check the answer by substituting back into the question.

Question 5: A solid whose faces are all polygons is called a
(a) cylinder
(b) sphere
(c) polyhedron
(d) cone
Show Answer & Explanation

Answer: (c) polyhedron

Explanation:
1. A polyhedron has only flat polygonal faces.

Teacher's Note:
1. Euler's formula for a solid: F + V - E = 2, where F is faces, V vertices and E edges.
2. Re-check the answer by substituting back into the question.

Question 6: The net of a cube consists of
(a) 4 squares
(b) 6 squares
(c) 6 triangles
(d) 8 squares
Show Answer & Explanation

Answer: (b) 6 squares

Explanation:
1. A cube has 6 square faces.

Teacher's Note:
1. A net is a flat pattern that folds into a solid.
2. Re-check the answer by substituting back into the question.

Question 7: The net of a cylinder consists of
(a) two circles and a rectangle
(b) three circles
(c) two rectangles and a circle
(d) a triangle and a circle
Show Answer & Explanation

Answer: (a) two circles and a rectangle

Explanation:
1. The curved surface unrolls into a rectangle.

Teacher's Note:
1. Euler's formula for a solid: F + V - E = 2, where F is faces, V vertices and E edges.
2. Re-check the answer by substituting back into the question.

Question 8: The net of a cone consists of
(a) two circles
(b) a triangle and a square
(c) a rectangle and a circle
(d) a circle and a sector
Show Answer & Explanation

Answer: (d) a circle and a sector

Explanation:
1. The curved surface unrolls into a sector of a circle.

Teacher's Note:
1. Euler's formula for a solid: F + V - E = 2, where F is faces, V vertices and E edges.
2. Re-check the answer by substituting back into the question.

Question 9: The net of a square pyramid consists of
(a) 5 squares
(b) a square and 4 rectangles
(c) a square and 4 triangles
(d) 4 squares and 1 triangle
Show Answer & Explanation

Answer: (c) a square and 4 triangles

Explanation:
1. The base is a square and the four side faces are triangles.

Teacher's Note:
1. Euler's formula for a solid: F + V - E = 2, where F is faces, V vertices and E edges.
2. Re-check the answer by substituting back into the question.

Question 10: The net of a triangular prism consists of
(a) 3 triangles and 2 rectangles
(b) 2 triangles and 3 rectangles
(c) 5 triangles
(d) 5 rectangles
Show Answer & Explanation

Answer: (b) 2 triangles and 3 rectangles

Explanation:
1. Two triangular ends and three rectangular sides.

Teacher's Note:
1. Euler's formula for a solid: F + V - E = 2, where F is faces, V vertices and E edges.
2. Re-check the answer by substituting back into the question.

Question 11: Which of these is NOT a polyhedron?
(a) cone
(b) cube
(c) prism
(d) pyramid
Show Answer & Explanation

Answer: (a) cone

Explanation:
1. A cone has a curved surface.

Teacher's Note:
1. Euler's formula for a solid: F + V - E = 2, where F is faces, V vertices and E edges.
2. Re-check the answer by substituting back into the question.

Question 12: A prism has 2 identical ends called
(a) vertices
(b) edges
(c) apexes
(d) bases
Show Answer & Explanation

Answer: (d) bases

Explanation:
1. Bases are the two identical parallel faces.

Teacher's Note:
1. Euler's formula for a solid: F + V - E = 2, where F is faces, V vertices and E edges.
2. Re-check the answer by substituting back into the question.

Question 13: The side faces of a prism are
(a) triangles always
(b) circles
(c) rectangles (parallelograms)
(d) hexagons always
Show Answer & Explanation

Answer: (c) rectangles (parallelograms)

Explanation:
1. Each side face joins corresponding edges of the two bases.

Teacher's Note:
1. Euler's formula for a solid: F + V - E = 2, where F is faces, V vertices and E edges.
2. Re-check the answer by substituting back into the question.

Question 14: The side faces of a pyramid are
(a) rectangles
(b) triangles
(c) squares
(d) circles
Show Answer & Explanation

Answer: (b) triangles

Explanation:
1. They meet at the apex.

Teacher's Note:
1. Euler's formula for a solid: F + V - E = 2, where F is faces, V vertices and E edges.
2. Re-check the answer by substituting back into the question.

Question 15: A cuboid has how many pairs of identical faces?
(a) 3
(b) 2
(c) 4
(d) 6
Show Answer & Explanation

Answer: (a) 3

Explanation:
1. Opposite faces are equal, giving 3 pairs.

Teacher's Note:
1. Euler's formula for a solid: F + V - E = 2, where F is faces, V vertices and E edges.
2. Re-check the answer by substituting back into the question.

Question 16: The top view of a cube placed on a table is a
(a) triangle
(b) circle
(c) rectangle only if long
(d) square
Show Answer & Explanation

Answer: (d) square

Explanation:
1. The top face is a square.

Teacher's Note:
1. Euler's formula for a solid: F + V - E = 2, where F is faces, V vertices and E edges.
2. Re-check the answer by substituting back into the question.

Question 17: The top view of a cylinder standing on its base is a
(a) rectangle
(b) square
(c) circle
(d) triangle
Show Answer & Explanation

Answer: (c) circle

Explanation:
1. Looking from above, you see the circular top.

Teacher's Note:
1. Euler's formula for a solid: F + V - E = 2, where F is faces, V vertices and E edges.
2. Re-check the answer by substituting back into the question.

Question 18: The front view of a cone standing on its base is a
(a) circle
(b) triangle
(c) square
(d) semicircle
Show Answer & Explanation

Answer: (b) triangle

Explanation:
1. It is a triangle with the base as its bottom side.

Teacher's Note:
1. Euler's formula for a solid: F + V - E = 2, where F is faces, V vertices and E edges.
2. Re-check the answer by substituting back into the question.

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FAQs

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