Types of ThreeDimensional Shapes (3D Shapes)
We will learn different types of threedimensional shapes.
Threedimensional figures are also called solids. The most commonly used solids are cuboids, cylinders, cones and tetrahedrons.
A three dimensional shape can be better described, if its faces, edges and vertices are known.
Face: Each side of a solid has a surface called a face.


Edge: Two faces meet at a line segment called an edge


Vertex: Three edges meet at a point called a vertex.


Types of ThreeDimensional Shapes:
1. Cuboid: A 3dimensional shape whose length, breadth and height are different is called a cuboid.
A cuboid has 6 faces. Each face has 4 edges and 4 corners (also called vertices). All the six faces are not all of the same size. Only the opposite faces are the same.
For Example: Sugar cubes, Chalk box, Brick, Matchbox, book, etc.
2. Cube: A cuboid with equal length, breadth and height is called a cube.
It has 6 faces, all of which are squares of the same size. Each face has 4 edges and each face has 4 vertices.
3. Cylinder: A cylinder is one of the most basic curvilinear geometrical shapes. A cylinder is like a round pipe.
It has 2 flat or plane faces which are circular regions and one curved face. It has 2 edges and no corners.
4. Sphere: A sphere is the set of all points in a 3dimensional space which are at equal distance from a fixed point.
A sphere has only 1 face which is curved. It has no edges and no corners. A ball, marbles are examples of a sphere.
5. Cone: A cone looks like a top or the cap of a circus clown.
It has 1 flat face which is a circular region and one curved surface. It has 1 edge and 1 corner.
6. Triangular Prism: A triangular prism has 5 faces, 6 corners (vertices) and 9 edges.
7. Pyramid: A pyramid has 5 faces, 5 corners (vertices) and 8 edges.
Worksheet on Types of ThreeDimensional Shapes:
1. Complete the following table:
Solid

Number of Faces

Number of Vertices

Number of Edges

(i) Cube

_____

_____

_____

(ii) Cuboid

_____

_____

_____

(iii) Cone

_____

_____

_____

(iv) Sphere

_____

_____

_____

(v) Cylinder

_____

_____

_____

(vi) Pyramid

_____

_____

_____

Answer:
1.
2. (i) Name all the edges in the following cuboid and also name the faces which intersect to form these edges.
(ii) Which edges have the same length?
2. (i) Name all the edges in the following cuboid and also name the faces which intersect to form these edges.
(ii) Which edges have the same length?
Answer:
2. (i) AB; ABCD and ABFE, DC; DABC and DCGH
BC; BCDA and BEGC, DA, DABC and ADHE
EF; EABF and EFGH, FG FGCB and FGHE
GH; GHDC and GHEF, EH EHDA and EHGF
CG; CBIG and AEFB, DH DHGC and HDAE
AE; AEHD and AEFB; BF BFGC and BFEA
(ii) AB, EF, DC, HG;
AD, EH, BC, FG;
AE, DH, BF, CG.
3. How many cylinders can be formed from a paper of 20 cm by 25 cm with the help of folding? What could be the height of the cylinders?
Answer:
3. Two, one is 20 cm hight another is 25 cm hight.
4. In the following figure of a cuboid, write all its:
(i) Surfaces
(ii) Edges
(iii) Corners/Vertices
Answer:
4. (i) Surfaces: ABCG, FIDE, CDEG, ABIF, AGEF, BCDI
(ii) Edges; AB, BC, CG, AG, FI, ID, DE, EF, AF, GE, BI, CD
(iii) Corners/Vertices; A, B, C, G, D, E, F, I
You might like these
Types of quadrilaterals are discussed here: Parallelogram: A quadrilateral whose opposite sides are parallel and equal is called a parallelogram. Its opposite angles are equal.
Interior and exterior of an angle is explained here. The shaded portion between the arms BA and BC of the angle ABC can be extended indefinitely.
In worksheet on circle we will solve different types of question in circle. 1. The following figure shows a circle with centre O and some line segments drawn in it. Classify the line segments as radius, chord and diameter:
In the worksheet on triangle we will solve different types of questions on triangle. 1. Take three non  collinear points L, M, N. Join LM, MN and NL. What figure do you get? Name: (a)The side opposite to ∠L. (b) The angle opposite to side LN. (c) The vertex opposite to
We will discuss here about the properties of triangle. Property 1: Relation between the measures of three angles of triangle: Draw three triangles on your not book. Name them as ∆PQR, ∆ABC and ∆LMN.
In worksheet on angles you will solve different types of questions on angles. Classify the following angles into acute, obtuse, right and reflex angle: (i) 35° (ii) 185° (iii) 90°
In perpendicular lines when two intersecting lines a and b are said to be perpendicular to each other if one of the angles formed by them is a right angle. In other words, Set Square Set Square If two lines meet or intersect at a point to form a right angle, they are
In parallel lines when two lines do not intersect each other at any point even if they are extended to infinity. What are parallel lines in geometry? Two lines which do not intersect each other
Triangles are classified in two ways: (i) On the basis of sides and, (ii) On the basis of angles.In classification of triangle there are six elements in a triangle, that is, three sides and three angles. So, classification of triangle is done on the base of these elements.
Pairs of angles are discussed here in this lesson. 1. Complementary Angles: Two angles whose sum is 90° are called complementary angles and one is called the complement of the other.
A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known
Relation between diameter radius and circumference are discussed here. Relation between Diameter and Radius: What is the relation between diameter and radius? Solution: Diameter of a circle is twice
Here we will discuss about Medians and Altitudes of a Triangle. Median: The straight line joining a vertex of a triangle to the midpoint of the opposite side is called a median. A triangle has three medians. Here XL, YM and ZN are medians. A geometrical property of medians
In 5th Grade Geometry Worksheet we will classify the given angles as acute, right or obtuse angle; using a protractor, find the measure of the given angle, classify the given triangle and circle the numbers with right angles. 1. Write 3 examples of right angles. 2. Name the
Two lines that cross each other at a particular point are called intersecting lines. The point where two lines cross is called the point of intersection. In the given figure AB and CD intersect each other at point O.
5th Grade Geometry
5th Grade Math Problems
From Geometry to HOME PAGE
Didn't find what you were looking for? Or want to know more information
about Math Only Math.
Use this Google Search to find what you need.
Share this page:
What’s this?


New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.