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The surface area of a cylinder which exactly fits in a cube of side b is __________.

Answer: The surface area of a cylinder which exactly fits in a cube of side b is πb2 A cylinder is a three-dimensional solid that holds two... View Article

The volume of a cylinder which exactly fits in a cube of side a is __________.

Answer: The volume of a cylinder which exactly fits in a cube of side a is πa3/4 A cylinder is a three-dimensional solid that holds two... View Article

The curved surface area of a cylinder is reduced by ____________ per cent if the height is half of the original height.

Answer: The curved surface area of a cylinder is reduced by 50% per cent if the height is half of the original height. A cylinder is a... View Article

The volume of a cylinder becomes __________ the original volume if its radius becomes half of the original radius.

Answer: ¼ times A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance.... View Article

If a cube fits exactly in a cylinder with height h, then the volume of the cube is and surface area of the cube is .

Answer: If a cube fits exactly in a cylinder with height h, then the volume of the cube is h3and surface area of the cube is 6h2. A cube is a... View Article

If the diagonals of a rhombus get doubled, then the area of the rhombus becomes __________ its original area.

Answer: 4 times A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral. In a rhombus, opposite sides are parallel... View Article

The surface area of a cuboid formed by joining two cubes of side a face to face is __________.

Answer: 10a2 In geometry, a convex polyhedron that is bounded by six rectangular faces with eight vertices and twelve edges is called a cuboid.... View Article

A cube of side 5 cm is cut into 1 cm cubes. The percentage increase in volume after such cutting is __________.

Answer: No change A cube is a three-dimensional shape that is defined XYZ plane. It has six faces, eight vertices and twelve edges. All the faces... View Article

A cube of side 4 cm is painted on all its sides. If it is sliced in 1 cubic cm cubes, then number of such cubes that will have exactly two of their faces painted is __________.

Answer: 24 small cubes A cube is a three-dimensional shape that is defined XYZ plane. It has six faces, eight vertices and twelve edges. All the... View Article

If R is the radius of the base of the hat, then the total outer surface area of the hat is (a) πr (2h + R) (b) 2πr (h + R) (c) 2 πrh + πR2 (d) None of these

Answer: (c) 2πrh + πR2 A cylindrical hat with R = base radius r = Radius of the top surface The total surface area of a hat =... View Article

Ramesh has three containers. (a) Cylindrical container A having radius r and height h, (b) Cylindrical container B having radius 2r and height 1/2 h, and (c) Cuboidal container C having dimensions r × r × h The arrangement of the containers in the increasing order of their volumes is (a) A, B, C (b) B, C, A (c) C, A, B (d) cannot be arranged

Answer: (c) C, A, B A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. These... View Article

The surface areas of the six faces of a rectangular solid are 16, 16, 32, 32, 72 and 72 square centimetres. The volume of the solid, in cubic centimetres, is (a) 192 (b) 384 (c) 480 (d) 2592

Answer: (a) 192 It is given that, the solid has a rectangular face, hence, l × b = 16 …..................(1) b × h = 32... View Article

Two cubes have volumes in the ratio 1:64. The ratio of the area of a face of first cube to that of the other is (a) 1:4 (b) 1:8 (c) 1:16 (d) 1:32

Answer: (c) 1:16 A cube is a three-dimensional shape that is defined XYZ plane. It has six faces, eight vertices and twelve edges. All the faces... View Article

The ratio of radii of two cylinders is 1: 2 and heights are in the ratio 2:3. The ratio of their volumes is (a) 1:6 (b) 1:9 (c) 1:3 (d) 2:9

Answer: (a) 1:6 A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. These... View Article

A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and thickness of wood as 2.5 cm. The volume of the wood is (a) 85,000 cm3 (b) 80,000 cm3 (c) 82,125 cm3 (d) 84,000 cm3

Answer: (c) 82,125 cm3 Given Internal volume = 115 cm × 75 cm × 35 cm Internal volume = 301,875 cm3 External measurements are... View Article

Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm respectively are melted to form a single cube. The edge of the new cube is (a) 12 cm (b) 24 cm (c) 18 cm (d) 20 cm

Answer: (a) 12 cm A cube is a three-dimensional shape that is defined XYZ plane. It has six faces, eight vertices and twelve edges. All the... View Article

A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The side of the cube is (a) 6 cm (b) 8 cm (c) 12 cm (d) 24 cm

Answer: (a) 6 cm A cube is a three-dimensional shape that is defined XYZ plane. It has six faces, eight vertices and twelve edges. All the faces... View Article

Area of a quadrilateral ABCD is 20 cm2 and perpendiculars on BD from opposite vertices are 1 cm and 1.5 cm. The length of BD is (a) 4 cm (b) 15 cm (c) 16 cm (d) 18 cm

Answer: (c) 16 cm A quadrilateral is a plane figure that has four sides or edges, and also have four corners or vertices. Given that, the area of... View Article

The perimeter of a trapezium is 52 cm and its each non-parallel side is equal to 10 cm with its height 8 cm. Its area is (a) 124 cm2 (b) 118 cm2 (c) 128 cm2 (d) 112 cm2

Answer: (c) 128 cm2 The trapezium is a quadrilateral with two parallel sides. The parallel sides of a trapezium are called bases and the... View Article

The area of a parallelogram is 60 cm2 and one of its altitude is 5 cm. The length of its corresponding side is (a) 12 cm (b) 6 cm (c) 4 cm (d) 2 cm

Answer: (a) 12 cm A parallelogram is a two-dimensional geometrical shape, whose sides are parallel to each other. The area of the parallelogram... View Article