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Quiz Chapter 6: Three-Dimensional Geometric Shapes

10 questions · Form 2 Mathematics Bab 6: Three-Dimensional Geometric Shapes

Question 1 of 10Score: 0

Find the total surface area of a solid hemisphere with radius 7 cm. (Take π = 227)

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1. Find the total surface area of a solid hemisphere with radius 7 cm. (Take π = 227)

  1. 462 cm²
  2. 308 cm²
  3. 616 cm²
  4. 154 cm²
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Answer: A

Total surface area of a solid hemisphere = Curved area + Circular base area = 2πr² + πr² = 3πr² = 3 × (227) × 7² = 3 × 154 = 462 cm².

2. What shape is formed by the net consisting of 1 square and 4 identical isosceles triangles?

  1. Triangular Prism
  2. Square-based Pyramid
  3. Tetrahedron
  4. Cuboid
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Answer: B

A square base combined with 4 triangular lateral faces forms a square-based pyramid.

3. Calculate the volume of a cylinder with radius 7 cm and height 10 cm. (Take π = 227)

  1. 1540 cm³
  2. 154 cm³
  3. 440 cm³
  4. 3080 cm³
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Answer: A

Volume = πr²h = (227) × 7² × 10 = 154 × 10 = 1540 cm³.

4. Find the total surface area of a closed cylinder with radius 7 cm and height 3 cm. (Take π = 227)

  1. 440 cm²
  2. 308 cm²
  3. 132 cm²
  4. 154 cm²
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Answer: A

Surface Area = 2πr² + 2πrh = 2(227)(7²) + 2(227)(7)(3) = 308 + 132 = 440 cm².

5. Find the volume of a cone with radius 7 cm and height 12 cm. (Take π = 227)

  1. 616 cm³
  2. 1848 cm³
  3. 308 cm³
  4. 1232 cm³
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Answer: A

Volume = 13 πr²h = 13 × (227) × 7² × 12 = 13 × 154 × 12 = 154 × 4 = 616 cm³.

6. Calculate the total surface area of a cube with side length 5 cm.

  1. 25 cm²
  2. 100 cm²
  3. 125 cm²
  4. 150 cm²
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Answer: D

A cube has 6 square faces. Total surface area = 6 × (5)² = 6 × 25 = 150 cm².

7. Calculate the surface area of a sphere with radius 21 cm. (Take π = 227)

  1. 5544 cm²
  2. 1386 cm²
  3. 2772 cm²
  4. 38808 cm²
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Answer: A

Surface Area = 4πr² = 4 × (227) × 21² = 4 × (227) × 441 = 5544 cm².

8. Calculate the volume of a sphere with radius 3 cm. (Take π = 227)

  1. 113.14 cm³
  2. 36 cm³
  3. 113 17 cm³
  4. 226 27 cm³
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Answer: C

Volume = 43 πr³ = 43 × 227 × 3³ = 43 × 227 × 27 = 36 × 227 = 7927 = 113 17 cm³ (or 113.14 cm³).

9. A cylinder has a volume of 308 cm³ and a height of 8 cm. Find its radius. (Take π = 227)

  1. 3.5 cm
  2. 7 cm
  3. 14 cm
  4. 4.9 cm
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Answer: A

Volume = πr²h => 308 = (227) × r² × 8 => 308 = (1767)r² => r² = 308 × 7176 = 12.25 => r = 3.5 cm.

10. Calculate the volume of a hemisphere with radius 7 cm. (Take π = 227)

  1. 718.67 cm³
  2. 1437.33 cm³
  3. 359.33 cm³
  4. 1078 cm³
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Answer: A

Volume of hemisphere = 23 πr³ = 23 × (227) × 7³ = 23 × 22 × 49 = 21563 ≈ 718.67 cm³.

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