Lesson 16 · Solid Objects

Solid Objects

MathematicsSubject
8 minEstimated read
1Write the geometrical features of the solid with four triangular faces, a dice, the solid with eight triangular faces and the solid with twelve five sided faces.
2Make a table of the numbers of edges, faces and corners of those solids.
3What is the relation between the edges, faces and corners of those solids?
4How many plane faces does a triangular prism have, and what shapes are they?
5How many faces, edges and corners does a triangular prism have, and what relation do they satisfy?
6Which faces of a triangular prism are congruent to one another?
7What faces is a pyramid made of, what relation do its faces, edges and vertices satisfy, and where can such shapes be seen?
8Which faces of a pyramid are congruent?
9How many faces, edges and vertices does a cube have, and what does it look like when it is opened out?
10How many faces, edges and vertices does a cuboid have, and what is the difference between the net of a cube and the net of a cuboid?
11How many faces, edges and vertices does a tetrahedron have, and what is its net like?
12Define a cone. How many faces, edges and vertices does it have, and what does it look like when opened out?
13Define a cylinder. How many faces, edges and vertices does it have, and what does the paper look like if the whole cylinder is covered and the paper is then taken off?
14Test which of the given nets fold into a cube. (a) Four squares in a row with one square above the second and one below the third. (b) Six squares in a single row. (c) Three squares in a row with two squares running down from the third.
15Test which of the given nets fold into a tetrahedron. (a) Four triangles joined in a strip. (b) A large triangle divided into four equal triangles. (c) Five triangles joined in a strip.
16How many faces, edges and vertices has a hexagonal base pyramid? Check it with the relation.
17Explain why the relation \( F + V = E + 2 \) does not work for a cylinder.
18A prism and a pyramid both have 5 faces. How can you tell them apart?
19Write the order of work for building models of a triangular prism and a pyramid from juice pipes or sticks and presenting them.