Mensuration — practice questions, page 4
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A square field has a boundary 800 m long. What is its area in hectares? (1 hectare = 10000 square…A triangular signboard has sides of 9 cm, 40 cm and 41 cm. What is its area in square cm?A restaurant sells two round pizzas whose diameters are in the ratio 2 : 3. The smaller one is…A circular coaster of the largest possible size is cut from a square wooden tile. What percentage…A rhombus-shaped tile has a side of 25 cm, and one of its diagonals measures 48 cm. What is its…The largest possible sphere is carved out of a solid wooden cube of edge 21 cm. What volume of…A rectangular pen is to be fenced off using exactly 60 m of wire mesh. What is the largest area,…A plot shaped like a trapezium has an area of 480 square metres, and its two parallel sides…A sector of a circle of radius 15 cm with a central angle of 216° is rolled up, edge to edge, to…A rectangular garden 45 m long and 30 m wide is to be fenced on all four sides, leaving a gap of 5…A ridge tent has a uniform cross-section shaped like an isosceles triangle with a base of 6 m and…The perimeter of a rectangular photo frame is 62 cm and its diagonal measures 25 cm. What is the…A cubical carton has a volume of 1728 cubic cm. What is the length, in cm, of the longest straight…A floor tile is a regular hexagon of side 8 cm. What is its area in square cm? (Take √3 = 1.73.)A cartwheel of diameter 1.4 m makes 500 complete revolutions along a straight track. What distance…A carpenter cuts the largest possible cube from a rectangular wooden block measuring 60 cm by 45…A four-sided field has a diagonal 40 m long. From the two opposite corners, the perpendiculars…A bucket is shaped like the frustum of a cone: its top radius is 20 cm, its bottom radius is 12 cm…Two right circular cylinders have their radii in the ratio 2 : 3 and their heights in the ratio 5…A square and a circle have equal perimeters. What is the ratio of the area of the circle to the…A boundary wall 8 m long, 3 m high and 25 cm thick is to be built from bricks each measuring 25 cm…A window is made of a rectangle 84 cm wide and 100 cm tall with a semicircular top of the same…A rectangular pit 12 m long, 9 m wide and 4 m deep is dug for a foundation. Digging costs ₹35 per…A godown has vertical walls enclosing a space 18 m long, 10 m wide and 4 m high, and above the…A conical funnel is redesigned so that its base radius is made three times as large, while its…
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