Areas & Volumes — practice questions with answers
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A solid metallic sphere of radius 3 cm is melted and recast into small spheres each of radius 1…A cone and a cylinder have the same radius and the same height. The ratio of the volume of the…The perimeter of a rectangle is 36 cm and its length is 11 cm. Find its area (in cm²).The parallel sides of a trapezium are 12 cm and 20 cm, and the distance between them is 9 cm. Its…A triangle and a parallelogram stand on the same base and between the same parallels. If the area…Find the area (in cm²) of a triangle whose sides are 13 cm, 14 cm and 15 cm.An equilateral triangle has perimeter 36 cm. Taking √3 = 1.73, find its area in cm².The sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 144 cm. Find its area in…A triangle has sides 9 cm, 12 cm and 15 cm. Find the length (in cm) of the altitude drawn to its…Two sides of a triangle are 18 cm and 10 cm, and its perimeter is 42 cm. Find its exact area in cm².A parallelogram has adjacent sides 60 m and 25 m, and one of its diagonals is 65 m. Find its area…The diagonals of a rhombus measure 24 cm and 10 cm. Find its perimeter in cm.In a trapezium the parallel sides are 25 cm and 13 cm, and each of the two non-parallel sides is…A rectangle measures 60 m by 20 m. A square has the same perimeter as this rectangle. By how many…A rectangular plot measures 40 m by 30 m. A path 2.5 m wide is laid all around it on the outside.…A quadrilateral field ABCD has AB = 9 m, BC = 40 m, CD = 28 m and DA = 15 m, with a right angle at…Find the perimeter (in cm) of a sector of radius 21 cm whose central angle is 120°. Take π = 22/7.A chord of a circle of radius 14 cm subtends a right angle at the centre. Find the area (in cm²)…A chord of a circle of radius 12 cm subtends an angle of 60° at the centre. Find the area (in cm²)…A circular park of radius 35 m is surrounded by a path 7 m wide running around it on the outside.…A circle is inscribed in a square of side 14 cm, touching all four sides. Find the area (in cm²)…A wire bent in the shape of an equilateral triangle of side 22 cm is straightened and re-bent into…A horse is tied to a corner peg of a rectangular field measuring 15 m by 12 m with a rope 7 m…A semicircular protractor has diameter 14 cm. Find its perimeter (the curved edge plus the…From a square sheet of side 14 cm, a quadrant of radius 3.5 cm is cut from each of the four…
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