10 questions · Form 2 Mathematics Bab 6: Three-Dimensional Geometric Shapes
10 questions · plays in fullscreen
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. If the length of every edge of a cube is doubled, by what factor does its volume increase?
Answer: D
Volume scaling factor = 2³ = 8 times.
2. Find the volume of a square-based pyramid with base side length 6 cm and height 10 cm.
Answer: A
Volume = 13 × Base Area × Height = 13 × (6 × 6) × 10 = 13 × 36 × 10 = 120 cm³.
3. How many edges does a square-based pyramid have?
Answer: C
A square pyramid has 4 base edges and 4 slant edges connecting to the apex, total 8 edges.
4. A cylinder has a volume of 308 cm³ and a height of 8 cm. Find its radius. (Take π = 227)
Answer: A
Volume = πr²h => 308 = (227) × r² × 8 => 308 = (1767)r² => r² = 308 × 7176 = 12.25 => r = 3.5 cm.
5. Find the total surface area of a closed cylinder with radius 7 cm and height 3 cm. (Take π = 227)
Answer: A
Surface Area = 2πr² + 2πrh = 2(227)(7²) + 2(227)(7)(3) = 308 + 132 = 440 cm².
6. Calculate the total surface area of a cube with side length 5 cm.
Answer: D
A cube has 6 square faces. Total surface area = 6 × (5)² = 6 × 25 = 150 cm².
7. Which 3D shape has two congruent circular bases and one curved surface?
Answer: B
A cylinder consists of two parallel, congruent circular bases connected by a curved surface.
8. Calculate the volume of a sphere with radius 3 cm. (Take π = 227)
Answer: C
Volume = 43 πr³ = 43 × 227 × 3³ = 43 × 227 × 27 = 36 × 227 = 7927 = 113 17 cm³ (or 113.14 cm³).
9. Find the volume of a cone with radius 7 cm and height 12 cm. (Take π = 227)
Answer: A
Volume = 13 πr²h = 13 × (227) × 7² × 12 = 13 × 154 × 12 = 154 × 4 = 616 cm³.
10. A cone has a base radius of 6 cm and a perpendicular height of 8 cm. What is its slant height s?
Answer: A
Using Pythagoras' theorem: s = √r² + h² = √6² + 8² = √36 + 64 = √100 = 10 cm.