Test: Visualising Solid Shapes - Class 7 MCQ

The sphere has no flat faces.

• The number of faces on a sphere is zero.
• Unlike polyhedra, which have flat surfaces, a sphere is entirely curved.
• This unique shape results in the absence of any flat faces.

The number of vertices of a cube is

• The cube has a total of eight vertices.
• Each vertex is a point where three edges meet.
• This geometric shape is one of the simplest and most well-known in three-dimensional space.

The number of vertices of a cone is.

• A cone has one vertex, which is the tip or apex of the cone.
• The base of the cone is circular and does not count as a vertex.
• Therefore, the total number of vertices in a cone is 1.

The number of faces of a square pyramid is:

• A square pyramid has a total of 5 faces.
• This includes one square base and four triangular faces.
• Each triangular face connects the apex of the pyramid to the edges of the base.

The number of faces of a triangular pyramid or tetrahedron is:

• 4 faces in total.
• Each face is a triangle.
• The faces include:
• 1 base triangle.
• 3 triangular side faces.

A triangular prism has 3 rectangular faces joining the two triangles.

The number of triangular faces of a rectangular pyramid is:

• A rectangular pyramid has a rectangular base.
• It features four triangular faces that connect the apex to each side of the base.
• Therefore, the total number of triangular faces is 4.

A football is shaped like a sphere because it is round and has a smooth curved surface. 

• Ice cube (A) – It has flat faces and edges, so it is not a sphere.
• Football (B) – It is round like a sphere, so this is the correct answer.
• Dice (C) – A dice is a cube with flat faces and edges, so it is not a sphere.
• Notebook (D) – A notebook is flat and rectangular, not round like a sphere.

The number of edges of a triangular prism is:

• A triangular prism has five vertices.
• It consists of two triangular bases and three rectangular faces.
• Each triangular base has three edges, contributing a total of six edges from the bases.
• Additionally, there are three edges connecting the corresponding vertices of the two bases.
• Thus, the total number of edges is nine.

The square base has 4 edges and all the vertices joining one vertex at the top form 4 more edges which totals to 8.

The number of edges of a triangular pyramid is.

A triangular pyramid, also known as a tetrahedron, has the following characteristics:

• It consists of 4 triangular faces.
• There are 4 vertices where the faces meet.
• Each vertex connects to the others through edges.
• In total, a triangular pyramid has 6 edges.

Thus, the number of edges in a triangular pyramid is 6.

The number of edges of a rectangular pyramid is

A rectangular pyramid has a specific structure that determines its edges:

• It consists of a rectangular base with four edges.
• There are also four edges connecting the apex (top point) to each vertex of the base.

In total, this gives:

• 4 edges (base) + 4 edges (sides) = 8 edges.

Thus, a rectangular pyramid has a total of 8 edges.

A triangular prism consists of 2 triangles and 3 rectangles. So it has two triangular faces and three rectangular faces. So it has 5 faces. 

• A rectangular prism (also called a cuboid) is a 3D shape with 6 faces, 12 edges, and 8 vertices.
• Faces: The flat surfaces of the prism (6 in total).
• Edges: The line segments where two faces meet (12 in total).
• Vertices: The points where three edges meet (8 in total).

So, the correct answer is A) 8 

The corners of a solid shape are called its vertices; the line segments of itsskeleton are its edges; and its flat surfaces are its faces.

 A cylinder has 3 faces: 2 circular faces (top and bottom) and 1 curved surface that wraps around.

A _______ is a skeleton-outline of a solid that can be folded to make it

A net is a two-dimensional representation of a three-dimensional shape. It serves as a model for constructing the solid by folding along designated lines.

• The net outlines the shape and dimensions of the solid.
• It can be cut out and folded to create the actual solid.
• Nets are useful in geometry for visualising and understanding solids.

A cube is a three-dimensional shape with six square faces of equal size, twelve edges, and eight vertices. It is one of the most commonly recognized 3D shapes in geometry.