Areas & Volumes — practice questions, page 4
Browse practice questions
A solid metal cylinder of radius 6 cm and height 10 cm is melted down. From the molten metal a…A hollow metallic spherical shell has internal radius 3 cm and external radius 5 cm. It is melted…All the rain water from a flat roof measuring 22 m by 20 m drains into a cylindrical vessel of…Each side of a rhombus is 25 cm and one of its diagonals is 30 cm long. Find the area of the…The perimeter of a rhombus is 40 cm and one of its diagonals measures 12 cm. Find its area in cm².The area of a rhombus is 240 cm² and one of its diagonals is 16 cm. Find its perimeter in cm.The diagonals of a rhombus are in the ratio 3 : 4 and its area is 384 cm². Find the length of each…In a trapezium the two parallel sides are 25 cm and 10 cm, and the two non-parallel (slant) sides…A field is shaped like a trapezium whose parallel sides are 77 m and 60 m, while its slant sides…In trapezium ABCD the side AB is parallel to DC, with AB = 26 cm and DC = 16 cm. The side AD…A quadrilateral field is surveyed by measuring one diagonal, which is 44 m long, and then the…Find the area, in square units, of the triangle whose vertices are the points (1, 2), (−3, 4) and…The three points (2, 3), (4, k) and (6, −3) lie on one straight line. Find the value of k.Find the area, in square units, of the quadrilateral whose vertices taken in order are (0, 0), (6,…A triangle has vertices A(2, 3), B(−1, 0) and C(2, −4). Find its area in square units.A sector cut from a circle of radius 21 cm has a central angle of 120°. Its two straight edges are…A sector of radius 15 cm with a central angle of 216° is rolled up into a cone. Find the vertical…A semicircular sheet of paper of radius 14 cm is rolled up so that its two straight radii meet,…A tent has a cylindrical lower part of radius 7 m and height 3 m, with a conical top of the same…A tent is a cylinder of radius 14 m and height 3 m topped by a cone of the same radius with slant…A circus tent has a cylindrical base of diameter 42 m and height 5 m, surmounted by a cone of…The floor of a hall measuring 20 m by 15 m is to be tiled. Tiles cost ₹90 per m², and 8% extra…A conical tent has base radius 7 m and vertical height 24 m. Canvas for it costs ₹50 per m², and…A cistern in the shape of a cuboid is 3 m long, 2 m wide and 1.5 m deep, and it is full of water.…A cistern with a rectangular base 2 m by 1.5 m is 1.2 m deep. It is at present two-thirds full.…
← Previous · Page 4 of 12 · Next →