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Total surface area of a cylinder of radius h and height r is _________

Answer: Total surface area of a cylinder of radius h and height r is 2πh(r + h) Cylinder is one of the basic 3d shapes, in geometry,... View Article

Curved surface area of a cylinder of radius h and height r is _______.

Answer: Curved surface area of a cylinder of radius h and height r is 2πrh. Cylinder is one of the basic 3d shapes, in geometry, which has... View Article

Opposite faces of a cuboid are _________ in area.

Answer: Opposite faces of a cuboid are equal in area. A cuboid is a three-dimensional figure or solid which has six rectangular sides called... View Article

All six faces of a cuboid are ____ in shape and of area.

Answer: All six faces of a cuboid are rectangular shapes in shape and of different areas. A cuboid is also a polyhedron having six faces, eight... View Article

A trapezium with 3 equal sides and one side double the equal side can be divided into ____ equilateral triangles of _ area.

Answer: A trapezium with 3 equal sides and one side double the equal side can be divided into 3 equilateral triangles of equal areas. Two... View Article

The perimeter of a rectangle becomes __________ times its original perimeter, if its length and breadth are doubled.

Answer: The perimeter of a rectangle becomes two times times its original perimeter, if its length and breadth are doubled. A rectangle is a... View Article

If the diagonal d of a quadrilateral is doubled and the heights h1 and h2 falling on d are halved, then the area of quadrilateral is __________.

Answer: If the diagonal d of a quadrilateral is doubled and the heights h1 and h2 falling on d are halved, then the area of quadrilateral is... View Article

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

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