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AREA OF 3-D FIGURES || Quantitative Aptitude || CAT 2021 || 12 October

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Question 1

The height of solid cone is 40 cm and the radius of its base is 30 cm. What is the cost of painting the total surface area of the cone at the rate Rs 7 per cm2?

Question 2

The circumference of the base of a right circular cone is 88 cm and its height is 48 cm. The curved surface area (in cm2) of the cone is: (Take )

Question 3

The curved surface area and total surface area of a cylinder are in the ratio 7: 13 respectively. If the volume of the cylinder is 6336 cm3, then the height of the cylinder is

Question 4

The sum of length, breadth and height of a cuboid is 20 cm. If the length of the diagonal is 12 cm, then find the total surface area of cuboid.

Question 5

The volume of 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

Question 6

A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume (in m3) of the hall is:

Question 7

If a cuboid of dimensions 32 cm × 12 cm × 9 cm is melted into two cubes of same size, what will be the ratio of the surface area of the cuboid to the total surface area of the two cubes?

Question 8

A solid cube is cut into two equal halves by a plane passing through exactly two corners of the cube. Find the ratio of the total surface area of both the halves put together and the original total surface area of the cube.

Question 9

The sum of the radii of spheres A and B is 14 cm, the radius of A being larger than that of B. The difference between their surface areas is 112π. What is the ratio of the volumes of A and B?

Question 10

Find the total surface area of a cylinder whose radius is equal to the radius of sphere having surface area 154 m² and height is twice the radius?
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