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RRB NTPC Geometry & Mensuration — practice questions — page 2

Explore 57 free Geometry & Mensuration questions in RRB NTPC Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Geometry & Mensuration questions and exercises with answers

Showing questions 31–57 of 57.

Why is joined solids surface area not the sum of their areas?Read the answer and worked solution →A tent is a cylinder (r = 7 m, h = 10 m) topped by a cone of height 6 m. Find its volume (pi = 22/7).Read the answer and worked solution →A metal cube of edge 6 cm is melted and recast into a cuboid 9 cm by 6 cm at the base. Find its height.Read the answer and worked solution →A cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes result?Read the answer and worked solution →A tank is 5 m long, 4 m wide and 3 m deep. How many litres can it hold when full?Read the answer and worked solution →A room is 10 m long, 8 m wide and 3 m high. What is the total area of its four walls?Read the answer and worked solution →A 20 m by 15 m lawn has a 2 m wide path all around outside it. What is the path's area?Read the answer and worked solution →A circular ring is bounded by circles of radius 21 cm and 14 cm. Find its area (pi = 22/7).Read the answer and worked solution →A wheel of diameter 14 cm makes 100 turns. How far does it roll (pi = 22/7)?Read the answer and worked solution →Find the perimeter of a semicircular plate of diameter 14 cm (pi = 22/7).Read the answer and worked solution →A sector of angle 90 degrees is cut from a circle of radius 14 cm. Find its area (pi = 22/7).Read the answer and worked solution →A hollow pipe has outer radius 8 cm, inner radius 7 cm and length 14 cm. Find its material volume (pi = 22/7).Read the answer and worked solution →The volume of a thin cylindrical shell equals what?Read the answer and worked solution →A rhombus has side 10 cm and one diagonal 12 cm. What is its area?Read the answer and worked solution →By Heron's formula, what is the area of a triangle with sides 13, 14 and 15 cm?Read the answer and worked solution →A regular polygon has perimeter 40 cm and apothem 6 cm. What is its area?Read the answer and worked solution →Brahmagupta's formula gives the area of which shape from its sides?Read the answer and worked solution →The surveyor's (shoelace) formula finds the area of which shape?Read the answer and worked solution →Rotating a rectangle about one of its sides produces which solid?Read the answer and worked solution →How many square centimetres are contained in one square metre?Read the answer and worked solution →What metric area corresponds to one million square metres?Read the answer and worked solution →What is the longest line segment that can be drawn between two points on a sphere?Read the answer and worked solution →What geometric solid is generated by rotating a rectangle about one of its sides?Read the answer and worked solution →Which formula gives the curved side area of a right cylinder with radius r and height h?Read the answer and worked solution →For a circular cylinder of base radius r and height h, which formula gives its volume?Read the answer and worked solution →Which algebraic expression calculates the total exterior area bounding a sphere of radius r?Read the answer and worked solution →In three dimensions, what formula gives the volume inside a sphere of radius r?Read the answer and worked solution →

Worked practice questions

Why is joined solids surface area not the sum of their areas?

  1. Volume is added instead
  2. Joined faces become hidden
  3. Their radii always differ
  4. Parts lose curved sides
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Correct answer: B. Joined faces become hidden

Where two solids are joined, part of each surface disappears inside the combined body.

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A tent is a cylinder (r = 7 m, h = 10 m) topped by a cone of height 6 m. Find its volume (pi = 22/7).

  1. 1848 m³
  2. 2156 m³
  3. 308 m³
  4. 1540 m³
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Correct answer: A. 1848 m³

Cylinder gives 1540 m³ and the cone gives (1/3)(22/7)(49)(6) = 308 m³, so the total is 1848 m³.

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A metal cube of edge 6 cm is melted and recast into a cuboid 9 cm by 6 cm at the base. Find its height.

  1. 2 cm
  2. 4 cm
  3. 3 cm
  4. 6 cm
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Correct answer: B. 4 cm

Volume stays 216 cm³, so the height is 216 / 54 = 4 cm.

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