Visualising Solid Shapes - Free MCQ Practice Test with solutions,

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
• Each face connects the corresponding sides of the two triangular bases

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.

A triangular prism has:

• 2 triangular faces (top and bottom)
• 3 rectangular lateral faces connecting corresponding vertices of the triangles

Step 1: Count edges of the triangular faces

• Each triangle has 3 edges.
• There are 2 triangles → 3 × 2 = 6

Step 2: Count edges connecting the triangles (lateral edges)

• Each vertex of the bottom triangle is connected to the corresponding vertex of the top triangle → 3 edges

Step 3: Total edges
6 + 3 = 9

So, the number of edges is 9

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.

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. 

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.