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SSC CGL Surface Areas and Volumes — practice questions

Explore 71 free Surface Areas and Volumes questions in SSC CGL Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Surface Areas and Volumes questions and exercises with answers

Showing questions 1–30 of 71.

A circular track has a radius of 7 cm. What is its circumference? (Take π = 22/7)Read the answer and worked solution →Find the area enclosed by a circle of radius 14 cm. (Take π = 22/7)Read the answer and worked solution →A wire bent into a circle has length 88 cm. What is the radius of that circle? (Take π = 22/7)Read the answer and worked solution →A circular plate has area 154 cm². What is its radius? (Take π = 22/7)Read the answer and worked solution →If the radius of a circle is doubled, what happens to its area?Read the answer and worked solution →The radius of a circle becomes three times as large. By what factor does the circumference grow?Read the answer and worked solution →A square has a diagonal of 16 cm. What is its area?Read the answer and worked solution →A rectangle 24 cm by 7 cm is inscribed in a circle. What is the radius of the circle?Read the answer and worked solution →Find the area of a triangle whose sides are 13 cm, 14 cm and 15 cm.Read the answer and worked solution →A triangular plot has sides 5 m, 12 m and 13 m. What is its area?Read the answer and worked solution →A trapezium has parallel sides of 12 cm and 8 cm and a height of 5 cm. What is its area?Read the answer and worked solution →A trapezium of area 90 cm² has parallel sides 11 cm and 19 cm. What is its height?Read the answer and worked solution →The diagonals of a rhombus measure 16 cm and 30 cm. What is its area?Read the answer and worked solution →A rhombus has diagonals of 10 cm and 24 cm. What is its perimeter?Read the answer and worked solution →A cube has volume 1728 cm³. What is the length of its edge?Read the answer and worked solution →The edges of a cuboid are 12 cm, 4 cm and 3 cm. What is the length of its longest diagonal?Read the answer and worked solution →Find the total surface area of a cuboid measuring 10 cm × 6 cm × 4 cm.Read the answer and worked solution →A tank 5 m long and 4 m wide holds 60 cubic metres of water when full. How deep is it?Read the answer and worked solution →A right prism has a triangular base of area 24 cm² and is 10 cm tall. What is its volume?Read the answer and worked solution →How many faces does a right prism with a hexagonal base have in all?Read the answer and worked solution →A cylinder has base radius 7 cm and height 10 cm. What is its volume? (Take π = 22/7)Read the answer and worked solution →Rotating a rectangle about one of its sides generates which solid?Read the answer and worked solution →A cylinder's radius is halved while its height is doubled. How does its volume change?Read the answer and worked solution →A right circular cone has base radius 7 cm and slant height 25 cm. What is its height?Read the answer and worked solution →A cone and a cylinder share the same base radius and height. The cylinder holds how many times the cone's volume?Read the answer and worked solution →A cone has a base circumference of 44 cm and slant height 10 cm. What is its curved surface area?Read the answer and worked solution →A cone has height 12 cm and base radius 5 cm. What is its slant height?Read the answer and worked solution →A cone cut by a plane parallel to its base, with the top part removed, leaves which solid?Read the answer and worked solution →A spherical balloon has radius 21 cm. What is its volume? (Take π = 22/7)Read the answer and worked solution →The radius of a sphere is doubled. By what factor does its surface area increase?Read the answer and worked solution →

Worked practice questions

A circular track has a radius of 7 cm. What is its circumference? (Take π = 22/7)

  1. 44 cm
  2. 22 cm
  3. 154 cm
  4. 88 cm
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Correct answer: A. 44 cm

Circumference is 2πr, so 2 × 22/7 × 7 gives 44 cm.

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Find the area enclosed by a circle of radius 14 cm. (Take π = 22/7)

  1. 616 cm²
  2. 1232 cm²
  3. 308 cm²
  4. 88 cm²
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Correct answer: A. 616 cm²

Area is πr², so 22/7 × 14 × 14 gives 616 cm².

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A wire bent into a circle has length 88 cm. What is the radius of that circle? (Take π = 22/7)

  1. 14 cm
  2. 28 cm
  3. 44 cm
  4. 7 cm
Show answer and solution

Correct answer: A. 14 cm

From 2πr = 88, r = 88 × 7 / 44 = 14 cm.

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