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RPF Constable Mensuration — practice questions — page 2

Explore 46 free Mensuration questions in RPF Constable Arithmetic. Open each question or exercise to read its content, reference answers and available explanation.

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Mensuration questions and exercises with answers

Showing questions 31–46 of 46.

Two 3 m wide roads cross centrally, parallel to the sides of a 60 × 40 m plot; paving cost at ₹20/m²?Read the answer and worked solution →A triangular plot has sides 13 m, 14 m and 15 m; turfing cost at ₹15/m²?Read the answer and worked solution →A closed cylinder has radius 7 cm and total area 968 cm²; its volume? π = 22/7.Read the answer and worked solution →A 25 × 19 × 13 cm block is cut into the most 6 cm cubes in an edge-aligned grid; leftover volume?Read the answer and worked solution →Match the arithmetic resultRead the answer and worked solution →Match the arithmetic resultRead the answer and worked solution →A cone has radius 3 cm and height 14 cm. Find its volume; use π = 22/7.Read the answer and worked solution →A spherical ball has radius 3 cm. How many cubic centimetres does it occupy? Use π = 3.14.Read the answer and worked solution →A hemispherical dome has radius 7 cm. Its curved covering needs how much material? Use π = 22/7.Read the answer and worked solution →A radius-6 cm sphere is melted into cones of radius 2 cm and height 3 cm, with no loss. How many cones?Read the answer and worked solution →A radius-7 cm cylinder of height 10 cm has a matching hemisphere on top. Area exposed excluding the bottom? Use π = 22/7.Read the answer and worked solution →A full cylinder (r=6,h=8 cm) contains a solid cone of the same r,h. Pour its water into a cylinder r=4 cm. New depth?Read the answer and worked solution →A trapezium has parallel sides 18 m and 30 m, with height 10 m. Paving costs ₹12 per m². Total cost?Read the answer and worked solution →A rhombus has diagonals 16 cm and 30 cm. What are its area and perimeter?Read the answer and worked solution →A circular sector of radius 21 cm has perimeter 86 cm. Find its area; use π = 22/7.Read the answer and worked solution →Mensuration: choose the measureRead the answer and worked solution →

Worked practice questions

Two 3 m wide roads cross centrally, parallel to the sides of a 60 × 40 m plot; paving cost at ₹20/m²?

  1. ₹6180
  2. ₹6000
  3. ₹5640
  4. ₹5820
Show answer and solution

Correct answer: D. ₹5820

The roads cover 60 × 3 + 40 × 3 − 3 × 3 = 291 m², costing 291 × 20 = ₹5820.

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A triangular plot has sides 13 m, 14 m and 15 m; turfing cost at ₹15/m²?

  1. ₹2520
  2. ₹1260
  3. ₹630
  4. ₹1680
Show answer and solution

Correct answer: B. ₹1260

With semiperimeter 21 m, the area is √(21 × 8 × 7 × 6) = 84 m², so turfing costs ₹1260.

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A closed cylinder has radius 7 cm and total area 968 cm²; its volume? π = 22/7.

  1. 4620 cm³
  2. 1540 cm³
  3. 3388 cm³
  4. 2310 cm³
Show answer and solution

Correct answer: D. 2310 cm³

Since 44(7 + h) = 968 gives h = 15 cm, the volume is (22/7) × 7² × 15 = 2310 cm³.

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