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. 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.
2. The volume of a cuboid is 240 cm³. If its base area is 30 cm², find its height.
Answer: B
Volume = Base Area × Height => 240 = 30 × Height => Height = 24030 = 8 cm.
3. Calculate the total surface area of a cone with radius 7 cm and slant height 10 cm. (Take π = 227)
Answer: A
Total Surface Area = πr² + πrs = (227)(7²) + (227)(7)(10) = 154 + 220 = 374 cm².
4. 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.
5. A triangular prism has a cross-sectional area of 15 cm² and a length of 10 cm. Find its volume.
Answer: B
Volume = Cross-sectional area × Length = 15 cm² × 10 cm = 150 cm³.
6. Calculate the surface area of a sphere with radius 21 cm. (Take π = 227)
Answer: A
Surface Area = 4πr² = 4 × (227) × 21² = 4 × (227) × 441 = 5544 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. Find the total surface area of a solid hemisphere with radius 7 cm. (Take π = 227)
Answer: A
Total surface area of a solid hemisphere = Curved area + Circular base area = 2πr² + πr² = 3πr² = 3 × (227) × 7² = 3 × 154 = 462 cm².
9. How many vertices does a triangular prism have?
Answer: B
A triangular prism has 2 triangular bases (3 vertices each), making a total of 6 vertices.
10. 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.