OP Malhotra Three Dimensional Solids Class-10 S.Chand ICSE Maths Solutions Ch-15

OP Malhotra Three Dimensional Solids Class-10 S.Chand ICSE Maths Solutions Ch-15. We Provide Step by Step Answer of Exe-15 with Self Evaluation and Revision of S Chand OP Malhotra Maths . Visit official Website CISCE  for detail information about ICSE Board Class-10.

OP Malhotra Three Dimensional Solids Class-10 S.Chand ICSE Maths Solutions Ch-15

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-: Select Topics :-

Exercise-15(a)

Exercise-15(b)

Exercise-15(c)

Exercise-15(d)

Exercise-15(e)

Self Evaluation And Revision

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Exercise-15

OP Malhotra Three Dimensional Solids Class-10 S.Chand ICSE Maths Solutions Ch-15

Three-Dimensional Shapes :-

Shapes which can be measured in 3 directions are called three-dimensional shapes. These shapes are also called solids. Length, width, and height (or depth or thickness) are the three measurements of the three-dimensional shapes. These are the part of three-dimensional geometry. They are different from 2D shapes because they have thickness.

Solid Shapes in Maths :-

The three-dimensional objects having depth, width and height are called solid shapes. Let us consider a few shapes to learn about them. You can find many examples of solid shapes around you, such as mobile, notebook or almost everything you can see around is a solid shape.

Surface Area and Volume of 3D shapes :-

The two distinct measures used for defining the 3D shapes are:

• Surface Area
• Volume

Surface Area is defined as the total area of the surface of the three-dimensional object.  It is denoted as “SA”. The surface area is measured in terms of square units. The three different classifications of surface area are defined below. They are:

• Curved Surface Area (CSA) is the area of all the curved regions
• Lateral Surface Area (LSA) is the area of all the curved regions and all the flat surfaces excluding base areas
• Total Surface Area (TSA) is the area of all the surfaces including the base of a 3D object

Volume is defined as the total space occupied by the three-dimensional shape or solid object. The volume is denoted as “V”. It is measured in terms of cubic units.

Some 3d Shapes :-

Cube :

 

A cube is a solid or three-dimensional shape which has 6 square faces. The cube has the following properties.

• All edges are equal
• 8 vertices
• 12 edges
• 6 faces

The surface area and the volume of the cube are given below:

The Surface Area of a Cube = 6a² square units

The volume of a Cube = a³  cubic units

Prism :

A prism is a 3D shape which consists of two equal ends, flat surfaces or faces, and also have identical cross-section across its length. Since the cross-section looks like a triangle, the prism is generally called a triangular prism. The prism does not have any curve. Also, a prism has

• 6 vertices
• 9 edges
• 5 faces – 2 triangles and 3 rectangles

Pyramid :

 

A pyramid a solid shape, whose outer faces are triangular and meet to a single point on the top. The pyramid base can be of any shape such as triangular, square, quadrilateral or in the shape of any polygon. The most commonly used type of a pyramid is the square pyramid, i.e., it has a square base and four triangular faces. Consider a square pyramid.

Sphere :

 

A sphere is a three-dimensional solid figure which is perfectly round in shapes and every point on its surface is equidistant from the point is called the centre. The fixed distance from the centre of the sphere is called a radius of the sphere. A sphere has

• No vertex
• No edges
• 1 curved face

The surface area and the volume of the sphere are given below:

The Curved Surface Area of a Sphere = 2πr² Square units

The Total Surface Area of a Sphere = 4πr² Square units

The volume of a Sphere = 4/3(πr³) cubic units

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Exe-15(a),

OP Malhotra Three Dimensional Solids Class-10 S.Chand ICSE Maths Solutions Ch-15

Question 1:

Find he area of curved surface and total surface area of the cylinders whose heights and radii are given below :

………………….

…………………..

…………………

Question 2:

A cylindrical tank 7m in diameter ……………. wet surface.

Question 3:

……………………

……………………

……………………..

Question 10:

An iron pipe …………… of the pipe.

Question 11:

50 circular plates, each of radius 7 cm and thickness 0.5 cm, are placed one above ……………….. total surface area.

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Exe-15(b),

OP Malhotra Three Dimensional Solids Class-10 S.Chand ICSE Maths Solutions Ch-15

Question 1:

Find the volume of the cylinders whose radii and heights are given below, Take ……

……………….

………………

Question 2:

Find the diameter……………………. if …

…………….

……………..

Question 3:

Find the highest of the …………….. if …..

……………..

………………..

Question 4:

……………………..

……………………..

……………………….

Question 26:

Earth taken out on …………………………. decimal place.

Question 27:

Water is ……………. water level in 1/2 hours.

Question 28:

…………………..

……………………

Question 30:

if 1 cubic cm of cast ………………..  metal is 1 cm

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Exe-15(c),

OP Malhotra Three Dimensional Solids Class-10 S.Chand ICSE Maths Solutions Ch-15

Question 1:

Complete the following table. ………………… value of pie………

…………………..

Question 2:

Find the volume of cone ………………….

………………….

…………………..

Question 3:

………………………

………………………

…………………….

Question 24:

A metallic cylinder has radius 3 cm and height  5 cm…………………………… metal B in the solid

Question 25:

An open cylinder vessel of …………………………… drop in the water level.

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Exe-15(d),

OP Malhotra Three Dimensional Solids Class-10 S.Chand ICSE Maths Solutions Ch-15

Numerical of sphere has not been solved due to not in syllabus of 2020 – 21 exam

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Exe-15(e),

OP Malhotra Three Dimensional Solids Class-10 S.Chand ICSE Maths Solutions Ch-15

Numerical of sphere has not been solved due to not in syllabus of 2020 – 21 exam

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Self Evaluation And Revision

OP Malhotra Three Dimensional Solids Class-10 S.Chand ICSE Maths Solutions Ch-15

— : End of Three Dimensional Solids OP Malhotra S Chand Solutions :–

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Return to :-   OP Malhotra S Chand Solutions for ICSE Class-10 Maths

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