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... View Article
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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... 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... 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.... 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... 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... 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... 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... 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... 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... 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... 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... 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... 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... 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... 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... 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)... 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... 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... 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... View Article
