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Using the trapezium diagonal formula for equal diagonals: Diagonal^2 = (sum of squares of parallel sides) / 2 + height^2. Diagonal^2 = (10^2 + 20^2) / 2 + 8^2 = (100 + 400) / 2 + 64 = 250 + 64 = 314. Diagonal = √314 ≈ 17.73 cm.
A group of boys has an average weight of 44 kg. One boy weighing 50 kg leaves the group and another boy weighing 40 kg joins the group. If now the aver...
A cube of maximum possible volume is cut from a sphere of radius 5√3 cm. What is the ratio of the volume of a cube to that of the sphere?
In a rectangular floor of length and breadth of 16 metres and 7 metres, respectively, square tiles each of 4 metre edge length are to be laid. If the co...
If you divide a 24.6 m long wire in the ratio 12: 29, what will be the length of the longer piece?
The area of a square is 121 cm2 which is 89 cm2 less than that of a rectangle. Find the perimeter of the rectangle if the length o...
A gardener uses cylindrical roller of diameter 7 cm and length 28 cm to flatten a rectangular field of dimension 280cm × 165 cm. Find the number o...
Each side of square ‘A’ is 4 cm less than that of square ‘B’. The perimeter of a rectangle is 3 times the difference of the perimeters of the tw...
The radius and height of a right circular cone are in the ratio 3: 4. If its curved surface area (in cm²) is 240 π, then its volume (in cm³...
The perimeter of a rectangle is 300m. If the difference between the length and breadth of the rectangle is 10m, then what is the circumference of the l...
If the area of a square is 144 cm² and the breadth of a rectangle is 20% more and the length is 50% more than the side of the square, then find the rat...
