Mensuration — practice questions, page 6
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QuestionA cylindrical bucket of internal radius 15 cm holds water standing 28 cm deep. All of it is…QuestionA lampshade is the frustum of a cone: its wide rim has a radius of 14 cm, its narrow rim a radius…QuestionA triangular plot covers 216 square metres, and its height is three-quarters of its base. How long…QuestionA wedding hall has 8 cylindrical pillars, each 4 m tall and 70 cm across. Only the curved side of…QuestionA concrete loading ramp is a solid whose cross-section is a right triangle rising 1.5 m over a…QuestionA wooden toy rocket is a cylinder of radius 6 cm and height 20 cm with a cone of the same radius…QuestionWhile surveying a square field, a clerk records its side as 5% longer than it really is. By what…QuestionA storeroom has a floor 16 m long and 12 m wide, and the longest straight rod that can be placed…QuestionA rectangular sheet of paper is 20 cm long and 14 cm wide. A triangle is cut from it whose base is…QuestionA field is shaped like a trapezium whose parallel sides are 31 m and 10 m, while the two remaining…QuestionA cylindrical tin has an internal radius of 6 cm and an internal height of 12 cm. A solid ball is…QuestionA packing carton measures 60 cm by 50 cm by 40 cm inside. Solid cubical blocks of edge 12 cm are…QuestionA courtyard is 18 m 72 cm long and 13 m 20 cm wide. It is to be paved with equal square tiles of…QuestionThe length of a rectangle is increased by 20% and its breadth by 10%. By what percent does its…QuestionA lawn measures 80 m × 50 m. A gravel path 3 m wide runs along its edges on the inside. Find the…QuestionThe diagonals of a rhombus are 24 cm and 10 cm. What is its perimeter?QuestionThe parallel sides of a trapezium are 25 cm and 11 cm, and its non-parallel sides are 15 cm and 13…QuestionTwo adjacent sides of a parallelogram are 13 cm and 14 cm, and one of its diagonals is 15 cm. What…QuestionThe wheels of a car have a radius of 35 cm. How many revolutions per minute does each wheel make…QuestionA circular garden of radius 35 m has a path 3.5 m wide around it on the outside. Find the cost of…QuestionFour coins, each of radius 7 cm, are placed on a table so that each touches two others and their…QuestionThe perimeter of a rectangle is 46 cm and its diagonal is 17 cm. What is its area?QuestionA solid lead sphere of radius 6 cm is melted and recast into small solid cylinders, each of radius…QuestionA cylindrical vessel of radius 6 cm contains water. How many spherical balls of radius 1.5 cm must…QuestionHow many bricks of size 25 cm × 12.5 cm × 7.5 cm are needed to build a wall 10 m long, 4 m high…
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