Archives

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

What is the area of the rhombus ABCD below if AC = 6 cm, and BE = 4cm? (a) 36 cm2 (b) 16 cm2 (c) 24 cm2 (d) 13 cm2

Answer: (c) 24 cm2 From the given figure, the diagonal AC divides the rhombus into two triangles of equal area. Therefore, the area of a... View Article

The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is (a) 72 cm2 (b) 36 cm2 (c) 24 cm2 (d) 18 cm2

Answer: (b) 36 cm2 From the given figure, it is clear that a quadrilateral ABCD is a parallelogram. Here, the diagonal AC divides the... View Article

The volume of a cube whose edge is 3x is (a) 27×3 (b) 9×3 (c) 6×3 (d) 3×3

Answer: (a) 27x3 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 volume of a cylinder whose radius r is equal to its height is (a) 1/4 πr3 (b) πr3/32 (c) πr3 (d) πr3/8

Answer: (c) πr3 A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. These... View Article

How many small cubes with edge of 20 cm each can be just accommodated in a cubical box of 2 m edge? (a) 10 (b) 100 (c) 1000 (d) 10000

Answer: (c) 1000 A cube is a three-dimensional shape which is defined XYZ plane. It has six faces, eight vertices and twelve edges. All the faces... View Article

If the radius of a cylinder is tripled but its curved surface area is unchanged, then its height will be (a) tripled (b) constant (c) one sixth (d) one third

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

The volume of a cube is 64 cm3. Its surface area is (a) 16 cm2 (b) 64 cm2 (c) 96 cm2 (d) 128 cm2

Answer: (c) 4000 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 dimensions of a godown are 40 m, 25 m and 10 m. If it is filled with cuboidal boxes each of dimensions 2 m × 1.25 m × 1 m, then the number of boxes will be (a) 1800 (b) 2000 (c) 4000 (d) 8000

Answer: (c) 4000 Given that The dimensions of the godown are 40m, 25m and 10m ∴ Volume = 40m × 25m × 10m V = 10000 m3 Given... View Article

A regular hexagon is inscribed in a circle of radius r. The perimeter of the regular hexagon is (a) 3r (b) 6r (c) 9r (d) 12r

Answer: (b) 6r A regular hexagon is a closed shape polygon that has six equal sides and six equal angles. It has 6 equal sides and 6 equal... View Article

The surface area of the three coterminous faces of a cuboid are 6, 15 and 10 cm2 respectively. The volume of the cuboid is (a) 30 cm3 (b) 40 cm3 (c) 20 cm3 (d) 35 cm3

Answer: (a) 30 cm3 A cuboid is also a polyhedron having six faces, eight vertices and twelve edges. The faces of the cuboid are parallel. But not... View Article

If the height of a cylinder becomes 1/4 of the original height and the radius is doubled, then which of the following will be true? (a) Total surface area of the cylinder will be doubled. (b) Total surface area of the cylinder will remain unchanged. (c) Total surface of the cylinder will be halved. (d) None of the above.

Answer: (d) None of the above. We know that the total surface area of a cylinder is 2π r(h + r) Where r = Radius h = Height If the radius is... View Article

If the height of a cylinder becomes1/4 of the original height and the radius is doubled, then which of the following will be true? (a) Curved surface area of the cylinder will be doubled. (b) Curved surface area of the cylinder will remain unchanged. (c) Curved surface area of the cylinder will be halved. (d) Curved surface area will be 1/4 of the original curved surface.

Answer: (c) Curved surface area of the cylinder will be halved. We know that the curved surface area of a cylinder with Radius = r Height = h... View Article

If the height of a cylinder becomes 1/4 of the original height and the radius is doubled, then which of the following will be true? (a) Volume of the cylinder will be doubled. (b) Volume of the cylinder will remain unchanged. (c) Volume of the cylinder will be halved. (d) Volume of the cylinder will be1/4 of the original volume

Answer: (b) Volume of the cylinder will remain unchanged. We know that, the volume of a cylinder is π × r2 × h We know that Base... View Article