Mensuration — practice questions, page 3
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A square is inscribed in a circle of radius 10 cm. What is the area of the square, in square cm?The largest possible circle is cut from a square sheet of side 28 cm. What is the area of the…The diagonal of a square field measures 40 m. What is its area in square metres?The volume of a right circular cone is 12936 cubic cm and its height is 28 cm. What is its curved…The radius of a right circular cylinder is halved while its height is doubled. What happens to its…A rectangular tank with a base 20 cm by 15 cm is partly filled with water. A solid metal cube of…Three solid metal spheres of radii 3 cm, 4 cm and 5 cm are melted together and recast into a…A cone, a hemisphere and a cylinder stand on equal bases and have the same height. What is the…A triangular flower bed in a park has sides measuring 20 m, 20 m and 24 m. What is its area in…Two triangular plots are similar in shape, their corresponding sides being in the ratio 3 : 5. The…A square is drawn inside a circle of radius 21 cm so that all four of its corners touch the…Two circular paper sheets, each of area 154 square cm, are laid on a table so that they overlap.…A rectangular sheet of card 32 cm long and 18 cm wide is divided into two equal rectangles by a…A wire 88 cm long is bent, in turn, into each of these four shapes. Which one encloses the…An irrigation channel 200 m long has the same cross-section throughout: a trapezium 4 m wide at…A solid wooden cylinder of radius 10.5 cm and height 20 cm is sawn into two identical halves by a…An open-top rectangular water tank is to be made from sheet metal. It is 3 m long, 2 m wide and…A hall floor measuring 20 m by 15 m is to be tiled. Tiles cost ₹75 per square metre, and 8% more…A cuboidal wooden block 25 cm long, 20 cm wide and 12 cm high stands on a table. Every face is…A solid cube of edge 15 cm is cut into 27 identical smaller cubes. By how many square cm does the…A solid metal sphere of radius 21 cm is cut into two identical hemispheres. What is the combined…Grain is heaped on a threshing floor in the shape of a right circular cone of base radius 12 m and…A canal is 6 m wide and 2 m deep, and the water in it flows at 8 km per hour. In 30 minutes, how…A rectangular table top measures 150 cm by 80 cm. What is its area in square metres?A cuboidal storage tank measures 2.5 m by 1.6 m by 1.2 m internally. How many litres of water does…
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