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Mensuration — practice questions, page 2

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From a solid cylinder of radius 7 cm and height 21 cm, the largest possible right circular cone…A hall is 12 m long, 9 m wide and 8 m high. What is the length, in metres, of the longest straight…A hollow cylindrical iron pipe is 35 cm long. Its outer radius is 12 cm and its inner radius is 10…The two diagonals of a rhombus measure 24 cm and 10 cm. What is its perimeter in cm?A field is shaped like a trapezium whose parallel sides are 25 m and 15 m, the perpendicular…If each side of a square is increased by 40%, by what percentage does its area increase?The length of a rectangle is increased by 25% while its breadth is decreased by 20%. What is the…A room is 8 m long, 6 m wide and 4 m high. It has one door measuring 2 m by 1.5 m and two windows…The curved surface area of a right circular cylinder is 1320 square cm and its height is 15 cm.…The surface area of a solid sphere is 1386 square cm. What is its volume in cubic cm? (Use π =…A solid hemisphere has a radius of 7 cm. What is its total surface area in square cm? (Use π =…A room is 15 m long and 8 m wide. It is to be covered with a carpet 75 cm wide. What is the cost…A hemispherical bowl has an internal radius of 21 cm. How many litres of soup can it hold? (Use π…A solid cube of edge 12 cm is cut into 8 identical smaller cubes. What is the ratio of the total…A road roller is 2.1 m long and has a diameter of 1.4 m. How many complete revolutions must it…A circular pond of radius 14 m is surrounded by a path 3.5 m wide running all around it. What is…The perimeter of an equilateral triangle is 36 cm. What is its area in square cm? (Take √3 = 1.73.)The three sides of a triangular plot measure 13 m, 14 m and 15 m. What is its area in square metres?A semicircular protractor has a diameter of 14 cm. What is its perimeter in cm? (Use π = 22/7.)A solid metal cuboid measuring 27 cm by 8 cm by 1 cm is melted and recast into a single solid…A well of internal diameter 14 m is dug 12 m deep. The earth taken out is spread evenly all around…A circus tent is cylindrical up to a height of 3 m and conical above that. Its base diameter is…The adjacent sides of a parallelogram measure 15 cm and 8 cm, and the perpendicular distance…The length, breadth and height of a cuboid are in the ratio 5 : 3 : 2 and its volume is 6480 cubic…A solid metal cylinder of radius 6 cm and height 45 cm is melted and drawn into a wire of uniform…

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