3. A cube of a metal of 6 cm edge is melted and cast into a cuboid whose base is 9 cm × 8 cm. Find the height of the cuboid.
2 points
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4. In the figure given below, ABCD is a rectangle. AB = 14 cm, BC = 7 cm. From the rectangle, a quarter circle BFEC and a semicircle DGE are removed. Calculate the area of the remaining piece of the rectangle. (Take π = 22/7)
2 points
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5. The lateral surface area of a cube is 256 m², its volume is
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6. The number of planks of dimensions (4 m x 50cm x 20cm) that can be stored in a pit which is 16 m long, 12 m wide and 40 m deep is
2 points
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7. A triangle and a parallelogram have the same base and same area. If the sides of the triangle are 26 cm, 28 cm and 30 cm and the parallelogram stands on the base 28 cm, find the height of the parallelogram.
2 points
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8. The length of the longest pole that can be put in a room of dimensions (10m x 10m x 5m) is
2 points
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9. The area of a trapezium is 540 cm². If the ratio of parallel sides is 7: 5 and the distance between them is 18 cm, find the length of parallel sides.
2 points
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10. Find the area of quadrilateral ABCD in which ∠B = 90° , AB = 6 cm, BC = 8 cm and CD = AD = 13 cm.