Areas & Volumes — practice questions, page 7
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QuestionA road roller is a cylinder 2.5 m long of diameter 1.4 m. How many complete revolutions must it…QuestionA closed wooden block is 25 cm long, 20 cm wide and 10 cm high. It stands on the floor with one of…QuestionA hall is supported by 12 identical cylindrical pillars, each of diameter 0.7 m and height 5 m.…QuestionA room is 6 m long, 5 m wide and 4 m high. Only its four walls are to be painted; the ceiling and…QuestionA floor measures 4.8 m by 3 m. It is to be covered completely with square tiles of side 20 cm,…QuestionA cylindrical drum has internal radius 35 cm and internal height 1.2 m. Find how many litres of…QuestionTwo sides of a triangle measure 8 cm and 10 cm, and the angle between them is 30°. Find the area…QuestionA kite is cut out of card. Its two diagonals cross at right angles and measure 24 cm and 18 cm.…QuestionA parallelogram has adjacent sides 15 cm and 12 cm. The perpendicular distance between the two 15…QuestionA trapezium has area 1440 m² and the distance between its parallel sides is 24 m. Its two parallel…QuestionA right-angled triangle has sides 8 cm, 15 cm and 17 cm. Find the radius, in cm, of the circle…QuestionA circle is drawn through the four corners of a rectangle whose sides are 16 cm and 12 cm. Find…QuestionThe perimeter of a square is 88 cm, and the circumference of a circle is also 88 cm. Find the…QuestionA rectangular field has area 3840 m² and its length and breadth are in the ratio 5 : 3. Find the…QuestionA plot of land is a rectangle 20 m by 14 m with an isosceles triangle of base 14 m and height 6 m…QuestionAn equilateral triangle has side 14 cm. At each of its three corners a sector of radius 7 cm is…QuestionA running track is shaped like a rectangle 90 m long and 28 m wide with a semicircle attached to…QuestionA sector has radius 14 cm and its arc is 11 cm long. Find the area of the sector in cm².QuestionA sector cut from a circle of radius 7 cm has area 38.5 cm². Find its central angle in degrees.…QuestionThe minute hand of a clock is 21 cm long. Find the area, in cm², that it sweeps over in 5 minutes.…QuestionTwo circles are drawn about the same centre. The ring between them has area 264 cm² and the outer…QuestionA field in the shape of a circle has a boundary 220 m long. Find the cost of ploughing it at ₹4…QuestionA bicycle wheel has diameter 70 cm. How many complete revolutions does it make while the bicycle…QuestionThe diagonal of a cube measures 8√3 cm. Find its total surface area in cm².QuestionThe largest possible cube is cut from a solid sphere of radius 6√3 cm. Find the edge of the cube…
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