Cuboid/cube/cylinder/cone/sphere/hemispherePractice Questions & MCQs
Practice Cuboid/cube/cylinder/cone/sphere/hemisphere questions from Surface Areas and Volumes (Class 9 Maths) - important MCQs with answers and step-by-step solutions. Solve the sample questions below, then practice the full set free on the RankByte app.
Cuboid/cube/cylinder/cone/sphere/hemisphereQuiz - Solve & Score
Q1. If the height of a cylinder is doubled and the radius is tripled, the new volume becomes how many times the original volume?
- A.18
- B.12
- C.6
- D.9
Answer: A. 18
What does the chapter say about this? V ∝ r^2 h → factor (3)^2·2 = 18. Trap: adding factors 9+2 = 11. Pick: A) 18.
Q2. If the radius and the height of a right circular cylinder are each tripled, the new volume is what multiple of the original volume?
- A.27
- B.9
- C.3
- D.12
Answer: A. 27
Q3. A cube of edge 12 cm is cut by three mutually perpendicular cuts through its centre, producing 8 identical smaller cubes. By what percentage does the combined surface area of the 8 pieces exceed the surface area of the original cube?
- A.100%
- B.50%
- C.200%
- D.300%
Answer: A. 100%
Diagnose the question type - a typical math numerical. The data on the table: 12 cm. We are after the quantity the stem asks for. Tool of choice - Original TSA = 6·144 = 864 cm^2. Rearrange it for the unknown before substituting. Numbers in: Original TSA = 6·144 = 864 cm^2 → Each small cube has edge 6, TSA = 216 → eight together = 1728 → Increase = 864, percentage = 100%. Common-sense check: Trap: comparing one small-cube TSA to the big-cube TSA. Lock in option A) 100%.
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