alleryA room's floor is 9 m long and 6 m wide; what area needs carpeting?
- 54 m²
- 60 m²
- 30 m²
- 45 m²
Show answer and solution
Correct answer: A. 54 m²
The carpet must cover 9 × 6 = 54 m².
RPF Constable Mensuration — practice questions
Explore 46 free Mensuration questions in RPF Constable Arithmetic. Open each question or exercise to read its content, reference answers and available explanation.
Practise Mensuration with Quill →Mensuration questions and exercises with answers
Showing questions 1–30 of 46.
A room's floor is 9 m long and 6 m wide; what area needs carpeting?Read the answer and worked solution →A 12 m by 8 m garden has a 2 m gate; how much fencing is needed?Read the answer and worked solution →A triangular flag has base 18 cm and height 10 cm; what is its area?Read the answer and worked solution →A regular hexagonal frame has 8 cm sides; what is its perimeter?Read the answer and worked solution →A circular lid has radius 3.5 cm; what is its rim length? Use π = 22/7.Read the answer and worked solution →A cuboidal crate measures 8 cm × 5 cm × 3 cm; what is its volume?Read the answer and worked solution →A prism-shaped tank has base area 15 m² and depth 2 m; its capacity?Read the answer and worked solution →A bottle contains 2.4 L of juice; what volume is this in cm³?Read the answer and worked solution →A farmer buys 0.35 hectare of land; how many square metres is this?Read the answer and worked solution →A 6 m by 4 m floor uses 1 m² tiles without gaps; how many are needed?Read the answer and worked solution →A plot's four sides are 5 m, 7 m, 8 m and 6 m; its boundary length?Read the answer and worked solution →A triangular banner has area 72 cm² and base 16 cm; its height?Read the answer and worked solution →A cuboidal tank holds 180 m³ and has a 10 m by 6 m base; its depth?Read the answer and worked solution →A submerged stone raises a water reading from 125 to 173 cm³; its volume?Read the answer and worked solution →A 330 cm² mosaic uses parallelogram tiles of base 11 cm, height 6 cm; how many?Read the answer and worked solution →A 7 m by 3 m wall has a 2 m² window; what area needs painting?Read the answer and worked solution →A 10 cm square wire frame becomes a 14 cm long rectangle; its area?Read the answer and worked solution →A wheel of radius 21 cm rolls 50 turns without slipping; distance? π = 22/7.Read the answer and worked solution →A circular washer has radii 7 cm and 3.5 cm; its metal area? π = 22/7.Read the answer and worked solution →A triangle of height 8 m equals a 12 m by 5 m plot in area; its base?Read the answer and worked solution →A cylinder's inner radius is 7 cm and depth 20 cm; capacity in L? π = 22/7.Read the answer and worked solution →An open-top cuboidal box is 8 × 5 × 3 cm; its outer area? Ignore thickness.Read the answer and worked solution →A 6 cm metal cube is recast without loss into 3 × 2 × 2 cm blocks; how many?Read the answer and worked solution →One-quarter of a 200 m by 150 m farm is sold; how many hectares remain?Read the answer and worked solution →A rectangle's length rises 20% and breadth falls 10%; area change?Read the answer and worked solution →Two 10 m by 6 m plots share a 6 m side; fence outer edge and divider once?Read the answer and worked solution →A conical shade has radius 7 cm and slant height 15 cm; cloth area? π = 22/7.Read the answer and worked solution →A uniform outer path around a 30 m by 20 m garden covers 216 m²; its width?Read the answer and worked solution →A cube submerged in a 20 cm by 15 cm tank raises water 5.76 cm; its edge? No spill.Read the answer and worked solution →Water 30 cm deep in a radius-7 cm cylinder fills an empty 22 × 15 cm base tank; depth? π = 22/7.Read the answer and worked solution →
Worked practice questions
A 12 m by 8 m garden has a 2 m gate; how much fencing is needed?
- 40 m
- 42 m
- 38 m
- 36 m
Show answer and solution
Correct answer: C. 38 m
The fencing required is 2 × (12 + 8) − 2 = 38 m.
A triangular flag has base 18 cm and height 10 cm; what is its area?
- 45 cm²
- 28 cm²
- 90 cm²
- 180 cm²
Show answer and solution
Correct answer: C. 90 cm²
The flag's area is ½ × 18 × 10 = 90 cm².
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