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The ratio of a closed cuboid's length, width, and height is 5: 4: 3. The total surface area of this cuboid is 1500 cm². Find the volume (in cm³) of th...
A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and height 15 cm which is partly filled with water. If t...
The radius of a cylindrical tank is 7 meters, and its height is 14 meters. How much water will it take to fill the tank to half its capacity?
Water flows at the rate of 10 meter per minute from a cylindrical pipe 5mm in diameter. How long it takes to fill up a conical vessel whose diameter at ...
A cylindrical tank with a radius of 7 m is half-filled with water. If a cuboidal block of dimensions 2 m × 5.5 m × 7 m is submerged completely into th...
If b sin θ = a, then sec θ + tan θ = ?
The lateral surface area of a cube is 100 cm2 . The length of a cuboid is 40% more than the side of the cube. The breadth of the cuboid is 6...
The perimeter of a square field is 10 cm more than the perimeter of a rectangle. The length of the rectangle is 60 cm which is 80% of its width. If a st...
The diagonals of a rhombus measure 36 cm and 48 cm. A rectangle has a length of 32 cm, and its area is equal to the area of the rhombus. What is the per...