Surface Area of a Combination of Solids

IMPORTANT

Surface Area of a Combination of Solids: Overview

This topic covers concepts, such as Surface Area, Surface Area of a Combination of Solids, Curved Surface Area, Lateral Surface Area of a Cuboid, Total Surface Area of a Cuboid, Lateral Surface Area of a Cube, Total Surface Area of a Cube, Curved Surface Area of Cylinder, Total Surface Area of Cylinder, Lateral Surface Area of a Cone, Total Surface Area of a Cone, Surface Area of a Sphere, Total Surface Area of a Hemisphere & Curved Surface Area of a Hemisphere etc.

Important Questions on Surface Area of a Combination of Solids

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If the side of a cube is increased by 100%, then by what percentage is the surface area of the cube increased?

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If a rectangular sheet having dimensions 22 cm×11 cm is rolled along its shorter sides to form a cylinder. Then the curved surface area of the cylinder so formed is 

EASY
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The diameter of hollow cone is equal to the diameter of spherical ball. If the ball is placed at the base of the cone, what portion of the ball will be outside the cone?

EASY
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Ram Mandir is constructed in the form of the cubical base of 30 cm × 20 cm ×10 cm, then find the area covered.

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What meant by surface area and volume cube?

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ABC is a triangle right-angled at B with AB=8 cm and BC=6 cm. It is made to revolve about its side BC. What is the approximate total surface area of the cone so formed? (take π=227 )

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Jumbo circus team is a very famous circus company in south India. They roam around in the different parts of the counts and host the circus treat for the people. When they are settling at a place, they will erect their huge circus tent for performing the show and small tents for them to stay in those days. The stage tent consists of a cylinder capped by a cone.

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There is a bird bath for the birds of circus in the cylindrical shape with a hemispherical depression at one end as shown in the figure. The height of the cylinder is 1.45 m and its radius is 30 cm. Find the total surface area of the bird-bath and use π =227.

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Find the surface area of a sphere of radius 7cm

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Akhil runs a toy manufacturing company. He produces a wide variety of toys suitable for kids of different ages. One of his toys is in the shape of a cone. If the diameter of the base of the right circular cone is 21 m and height 14 m. Find the area of the curved surface area of the cone in m2.

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Akhil runs a toy manufacturing company. He produces a wide variety of toys suitable for kids of different ages. Calculate the cost required to paint a ball that is in the shape of a sphere having a radius of 14 cm. If the cost of painting the ball is 3.5/square cm. Take π=227

HARD
IMPORTANT

Jumbo circus team is a very famous circus company in south India. They roam around in the different parts of the counts and host the circus treat for the people. When they are settling at a place, they will erect their huge circus tent for performing the show and small tents for them to stay in those days. The stage tent consists of a cylinder capped by a cone.

Premium Vector | Circus tent isolated on white background

The height and radius of the base of a conical portion is 21 metre and 28 metre. To make this conical part, a cloth is chosen which have a breadth of 8.8 metres. What will be the cost of the cloth to make the tent if the cost of the cloth per metre length is 25?

EASY
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Calculate the total surface area of the cube whose one side is 8 cm long.

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Given the lateral surface area of the cube to be 900 cm2, find the side of the cube in cm.

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A box is in the form of a cube. Its edge is 5 m long. Find the total length of the edges and the cost of painting the outside of the box, on all the surfaces at the rate of 5 per m2.

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Given the C.S.A. of a cylinder to be 154 cm2, and the height to be equal to twice the radius of the base. Find the radius and height of a cylinder.

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Find the total surface area of a hemisphere of radius 35 cm.

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Find the total surface area of a hemisphere of radius 3.5 cm.

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Find the curved surface area of a cylinder with radius 3 cm and height 5 cm.

MEDIUM
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Find the total surface area of a cone with radius 3 cm and height 4 cm.

MEDIUM
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Find the total surface area of a cone with radius 3 cm and slant height 7 cm.