We are here to help all the people who wish to learn the Three Dimensional Figures concepts. We have given detailed explanations and also different problems on 3-Dimensional objects along with explanations. Also, students can easily improve their preparation level by practicing with Worksheet on Three Dimensional Figures. Use the Three Dimensional Figures Worksheets and try to answer the questions on your own. Solving the 3D Figures Problems regularly helps you to improve your accuracy and speed in the final exams.

## Objective Questions on Three Dimensional Figures

1. Mention the number of faces for each of the given figures

(i) Cuboid

(ii) Tetrahedron

(iii) Triangular prism

(iv) Cube

(v) Square pyramid

## Solution:

1. (i) 6

(ii) 4

(iii) 5

(iv) 6

(v) 5

Explanation:

(i) A Cuboid is made up of six rectangles, each of the rectangles is called the face.

(ii) A tetrahedron has 4 faces all are triangles.

(iii) A triangular prism consists of 2 triangular faces and 3 rectangular faces. Therefore, total the triangular prism has 5 faces.

(iv) A cube consists of 6 faces.

(v) A square pyramid consists of faces one of which is a square face and the rest four are triangular faces.

2. Write down the number of edges of each of the following figures

(i) Tetrahedron

(ii) Triangular prism

(iii) Cube

(iv) Rectangular pyramid

## Solution:

1. (i) 6

(ii) 9

(iii) 12

(iv) 8

Explanation:

(i) A tetrahedron has 6 edges.

(ii) A triangular prism consists of 9 edges. If PQRSTV is a triangular prism, then the 9 edges of the triangular prism are PQ, QR, RP, ST, TV, VS, PS, QT, RV.

(iii) A cube consists of 12 edges. If PQRS is a cube, then the 12 edges of the cube are PQ, QR, RS, SP, EF, FG, GH, HE, PE, SH, QF, RG.

(iv) A rectangular pyramid consists of 8 edges. If the rectangular pyramid OPQRS has 8 edges, then PQ, QR, RS, SP, OP, OQ, OR, and OS are edges.

3. Write down the number of vertices of each of the following figures

(i) Tetrahedron

(ii) Square pyramid

(iii) Cuboid

(iv) Triangular prism

## Solution:

1. (i) 4

(ii) 5

(iii) 8

(iv) 6

Explanation:

(i) A tetrahedron has 4 vertices.

(ii) A square pyramid consists of 5 vertices. If OPQRS is a square pyramid having O, P, Q, R, S as its vertices.

(iii) A cuboid has 8 vertices. If PQRS is a cuboid, then the 8 vertices of the cuboid are P, Q, R, S, E, F, G, H.

(iv) A triangular prism consists of 6 vertices. If PQRS is a triangular prism, then the 6 vertices of the triangular prism are P, Q, R, S, T, V.

4. Fill in the blanks

(i) A triangular pyramid is called a …………….. .

(ii) The point at which three faces of a figure meet is known as its ……………..

(iii) A cube has …………….. vertices, …………….. edges and …………….. faces.

(iv) A cuboid is also known as a rectangular …………….

## Solution:

1. (i) tetrahedron

(ii) vertex

(iii) 8, 12, 6

(iv) prism

5. Which of the following has a single vertex?

(i) Sphere and Cylinder

(ii) Sphere

(iii) Cylinder

(iv) Cone

## Solution:

The answer is Cone. A cone has only a single vertex. The cone decreases smoothly from the circular flat base to the top point.

6. Which of the below statements are not correct?

(i) Each face of a polyhedron is a polygon.

(ii) The faces of a polyhedron are all flat.

(iii) A polyhedron is a three-dimensional figure.

(iv) A cube and a cone are both polyhedrons.

## Solution:

(iv) A cube and a cone are both polyhedrons.

7. A ………………… is a space figure with six faces, 8 vertices, and its opposite sides are parallel.

(i) Triangular Prism

(ii) Pyramid

(iii) Rectangular Prism

(iv) Cylinder

## Solution:

(iii) Rectangular Prism

A Rectangular Prism is a space figure with six faces, 8 vertices, and its opposite sides are parallel.

8. How many faces does a triangular prism have?

(i) Five

(ii) Four

(iii) Three

(iv) Two

## Solution:

(i) Five

A triangular prism has Five faces.