Areas & Volumes — practice questions, page 10
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QuestionA cylindrical hole of radius 3.5 cm is bored straight through a solid wooden cube of edge 10 cm,…QuestionA conical tent has base radius 21 m and vertical height 16 m. Each person inside needs 32 m³ of…QuestionA solid iron rod is a cylinder of radius 3.5 cm and length 20 cm. Iron weighs 8 g per cm³. Find…QuestionThe radius of a cylinder is increased by 20% and its height is decreased by 20%. By what percent…QuestionA closed rectangular carton measures 30 cm by 25 cm by 15 cm. The cardboard for it is bought with…QuestionA tent is a pyramid standing on a square base of side 6 m, and each of its four sloping faces is a…QuestionA window is a rectangle 2 m wide and 3 m high with a semicircle of diameter 2 m resting on its top…QuestionA path 1 m wide runs inside a square garden of side 25 m, all along the boundary. Find the area of…QuestionA swimming pool 12 m long, 8 m wide and 2 m deep is to be tiled on its floor and on its four walls…QuestionA ball just fits inside a closed cylindrical tin, touching the curved wall and both flat ends.…QuestionA rectangular field has perimeter 100 m and its diagonal is 40 m long. Find its area in m².QuestionThe three medians of a triangle measure 9 cm, 12 cm and 15 cm. A triangle's area is 4/3 of the…QuestionA rhombus has each side 8 cm and one of its angles is 60°. Find its area in cm². Take √3 = 1.73.QuestionA curved metal strip is an arc of a circle. Its two ends are 24 cm apart in a straight line, and…QuestionOne isosceles triangle has two sides of 5 cm and a base of 6 cm. A second isosceles triangle has…QuestionIn a trapezium the segment joining the midpoints of the two slanting sides is 18 cm long, and the…QuestionIn triangle ABC the side BC is 12 cm long. The triangle is obtuse, so the foot of the…QuestionA rectangular pen is to be fenced off with 36 m of wire, using the whole length of wire. What is…QuestionA rectangular field is 0.5 km long and 300 m wide. Find its area in hectares. Take 1 hectare =…QuestionA cubical water tank has an internal edge of 1.2 m. How many litres does it hold when full?QuestionA cuboidal tank measures 2 m by 1.5 m by 1 m inside. It is filled to the brim using a bucket that…QuestionA right-angled triangle with legs 6 cm and 8 cm is spun once about its HYPOTENUSE. Find the volume…QuestionA flat semicircular sheet of radius 6 cm is spun rapidly about its straight edge. Find the volume…QuestionTwo identical cylindrical pipes of radius 3 cm meet at right angles, their axes crossing at one…QuestionA solid cone is cut by two planes parallel to its base, one at one-third of the way down from the…
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