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Aptitude · all questions

Volume And Surface Area
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Q161

Open question
The dimensions of a certain machine are 48" × 30" × 52". If the size of the machine is increased proportionately until the sum of its dimensions equal 156", what will be the increase in the shortest side ?

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Q162

Open question
How many small cubes, each of 96 cm surface area, can be formed from the material obtained by melting a larger cube of 384 cm surface area ?

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Q163

Open question
A closed metallic cylindrical box is 1.25 m high and its base radius is 35 cm. If the sheet metal costs Rs. 80 per m2, the cost of the material used in the box is :

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Q164

Open question
A well with inner diameter 8 m is dug 14 m deep. Earth take out of its has been evenly spread all around it to a width of 3 m form an embankment. The height of the embankment will be :

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Q165

Open question
An iron pipe 20 cm long has exterior diameter equal to 25 cm. If the thickness of the pipe is 1 cm, then the whole surface of the pipe is :

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Q166

Open question
A semicircular sheet of paper of diameter 28 cm is bent to cover the exterior surface of an open conical ice-cream cup. The depth of the ice-cream cup is :

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Q167

Open question
In a right circular cone, the radius of its base is 7 cm and its height is 24 cm. A cross-section is made through the mid-point of the height parallel to the base. The volume of the upper portion is :

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Q168

Open question
If the surface area of two spheres are in the ratio of 4 : 25, then the ratio of their volumes is :

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Q169

Open question
The diameter of the iron ball used for the shot-put game is 14 cm. It is melted and then a solid cylinder of height cm is made. What will be the diameter of the base of the cylinder ?

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Q170

Open question
A hemispherical bowl is 176 cm round the brim. Supposing it to be half full, how many persons may be served from it in hemispherical glasses 4 cm in diameter at the top ?

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Q171

Open question
What is the volume in cubic cm of a pyramid whose area of the base is 25 sq cm and height 9 cm ?

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Q172

Open question
If the volume and curved surface area of a cylinder are 616 m3 and 352 m2 respectively, what is the total surface area of the cylinder (in m2)

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Q173

Open question
If the height of a right circular cone is increased by 200% and the radius of the base is reduced by 50%, then the volume of the cone :

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Q174

Open question
The length of canvas 1.1 m wide required to build a conical tent of height 14 m and the floor area 346.5 sq.m is :

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Q175

Open question
The radius of a hemispherical bowls is 6 cm. The capacity of the bowl is

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Q176

Open question
The ratio of the volumes of a right circular cylinder and a sphere is 3 : 2. If the radius of the sphere is double the radius of the base of the cylinder, find the ratio of the total surface areas of the cylinder and the sphere :

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Q177

Open question
If the radius of a sphere is increased by 10%, then the volume will be increased by :

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Q178

Open question
A rectangular tank is 225 m by 162 m at the base. With what speed must water flow into it through an aperture 60 cm by 45 cm so that the level may be raised 20 cm in 5 hours ?

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Q179

Open question
Each side of a cube measures 8 metres. What is the volume of the cube ?

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Q180

Open question
The volume of a cuboid is twice that of a cube . If the dimensions of the cuboid are 9 cm, 8 cm and 6 cm, the total surface area of the cube is :

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