Maths · Chapter 27
Mensuration 3D PYQs
Boxes, tanks, pipes, cones and balls. Learn a few formulas, one scaling rule and the melting idea, and the whole chapter opens up.
3D basics: volume, capacity and unit conversion 6 PYQs
- The length, breadth and height of a rectangular parallelepiped are 8 cm, 5 cm and 3 cm respectively. Its volume is:SSC Selection Post 2026 · 24 Sep 2026
- A rectangular solid has length 12 cm, breadth 9 cm and height 8 cm. Find its volume.SSC Selection Post 2026 · 18 Sep 2026
- The volume of a rectangular parallelepiped is 480 cm³. If its length and height are 12 cm and 8 cm respectively, then its breadth is:SSC Selection Post 2026 · 18 Sep 2026
- A rectangular prism has volume 288 cm³ and base dimensions 6 cm and 4 cm. Find its height.SSC Selection Post 2026 · 18 Sep 2026
- A rectangular parallelepiped has dimensions 15 cm, 10 cm and 8 cm. If its length is increased by 3 cm, then by how much does its volume increase?SSC Selection Post 2026 · 16 Sep 2026
- Water is pouring into a cuboidal reservoir at the rate of 70 litres per minute. The volume of the reservoir is 168 m ³. Find the time (in hours) it…RRB NTPC 2026 · 18 Mar 2026
Cuboid: surface area, volume, diagonal and faces 14 PYQs
- A rectangular parallelepiped has a length of 8 cm, a width of 5 cm, and a height of 3 cm. What is its total surface area?SSC Selection Post 2026 · 17 Sep 2026
- A rectangular parallelepiped has dimensions 6 cm, 4 cm and 3 cm. What is its total surface area?SSC Selection Post 2026 · 22 Sep 2026
- A cuboid has dimensions 10 cm, 6 cm and 4 cm. What is its total surface area?SSC Selection Post 2026 · 19 Sep 2026
- If the dimensions of a rectangular parallelepiped are 10 cm, 7 cm and 4 cm, then its lateral surface area is:SSC Selection Post 2026 · 21 Sep 2026
- A rectangular box has dimensions 6 cm, 8 cm and 24 cm. What is the length of the longest rod that can fit inside it?SSC Selection Post 2026 · 23 Sep 2026
- An architect is designing a right prism-shaped skylight with a rectangular base measuring 9 cm by 12 cm and a height of 16 cm. Determine the length…SSC Selection Post 2026 · 23 Sep 2026
- A box has length 11.1 cm, width 5.5 cm and height 7.7 cm. Find its total surface area.UP Police Constable 2026 · 08 Jun 2026
- A rectangular prism has height 25 cm, width 22 cm, and length 32 cm. What is the surface area ?UP Police SI 2026 · 15 Mar 2026
- If the length of a cuboid is 21 cm, breadth is 2 cm and the volume of the cuboid is 9198 cm ³, then find the height of the cuboid.RRB Group D 2026 · 04 Feb 2026
- The length, breadth and height of a cuboid are in the ratio 2 : 3 : 6 and its diagonal is 21 cm. Find its volume.SSC Selection Post 2026 · 16 Sep 2026
- A rectangular parallelepiped has a square base. The height of the solid is three times the side length of its base. Find the ratio of its lateral…SSC Selection Post 2026 · 25 Sep 2026
- A metallic sheet is of rectangular shape with dimensions 148 m × 136 m. From each of its corners, a square is cut off so as to make an open box. If…UP Police SI 2026 · 14 Mar 2026
- Find the volume of a cuboid whose length, breadth and height are in the ratio 4 : 3 : 2 and total surface area is 832 cm ².RRB Group D 2026 · 09 Feb 2026
- If six cubes of 10 cm edge are joined end to end, the surface area (in cm ²) of the resulting solid will be:RRB Group D 2026 · 05 Feb 2026