Question
The weight of a cubic metre metal is 1215 kg. It is melted and cast into a square rod of 9m length. A solid cube of maximum size is taken out from one end. Find the weight of the solid cube?
Volumes are equal 9 × x × x = 1 x² = 1/9 ⇒ x = 1/3 
[height is also same] Volume = (1/3)³ = 1/27 m³ Weight ⇒ 1/27 × 1215 = 45 kgMore Mensuration Questions
- A well 20m in diameter is dug 15m deep and the earth taken out is spread all around it to a width of 6m to form an embankment. The height of the embankment...
- Find the perimeter of a sector which forms a central angle of 72° in a circle of radius 35 cm. (Use π = 22/7)
- The areas of three adjacent faces of a cuboidal tank are 3 m², 12 m² and 16 m². The capacity of the tank. in litres, is:
- A cylinder has a height of 21 meters and a radius of 7 meters. If a cone has the same radius and height as the cylinder, what is the difference in volume b...
- A field is 125m long and 15m wide. A tank 10m ×7.5m×6m was dug in it and the earth thus dug out was spread equally on the remaining field. The level of the...
- Each side of square ‘A’ is 8 cm less than that of square ‘B’. The perimeter of a rectangle is 6 times the difference of the perimeters of the two square. I...
- In a rectangular floor of length and breadth of 22 metres and 16 metres, respectively, square tiles each of 2 metre edge length are to be laid. If the cost...
- There is a rectangular paper, whose length and breadth are in the ratio 13:17, respectively and it has a perimeter of 120 metres. If a triangular piece wit...
- Quantity I: The total area of a Square and rectangle is 546 Sq cm. The side of the square is 14 cm. What is the sum of the perimeter of square and rectang...
- A solid metallic rectangular block of dimensions 112 cm × 44 cm × 25 cm is melted and recast into a cylinder of radius 35 cm. The curved surface area (in c...
Hey! Ask a query
Please enter email id
The email must be a valid email address.
Please enter Mobile Number
Please enter valid Mobile Number
Please enter your Doubt
Think You're Ready for RBI Grade B?
RBI Grade B 2026 Phase 1 Memory Based Paper
- 200 Questions with Detailed Solutions
- Section-wise Coverage (GA, English, Quant & Reasoning)