中文（繁體）
中文（简体）
English
S3 Maths: Prisms, Cylinders and Spheres – Volume and Surface Area (Paper 1: basics)
S3 Maths: Prisms, Cylinders and Spheres – Volume and Surface Area (Paper 1: basics)
The first paper starts from the basic formulas: volume and surface area of cuboids and cubes, then prisms, cylinders and spheres.
Direct answers Every one of the ten questions uses a single formula with tidy numbers, so the habits settle first.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 |
| Suggested time | 20 |
| Difficulty mix | Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1 |
| Chapter | Chapter: S3 Maths: Prisms, Cylinders and Spheres – Volume and Surface Area |
| Level | S3 Maths |
02 Questions (10 items)
- FoundationA cuboid measures 6 cm by 4 cm by 3 cm. What is its volume?
- FoundationA cube has edges of 5 cm. What is its volume?
- FoundationWhat is the surface area of a cuboid measuring 6 cm by 4 cm by 3 cm?
- IntermediateA triangular prism has a base area of 20 cm squared and a length of 9 cm. What is its volume?
- IntermediateA cylinder has radius 3 cm and height 10 cm. What is its volume? Take pi as 3.14.
- IntermediateA cylinder has radius 2 cm and height 5 cm. What is its curved surface area? Take pi as 3.14.
- ChallengeA sphere has radius 3 cm. What is its volume? Take pi as 3.14.
- ChallengeA sphere has radius 5 cm. What is its surface area? Take pi as 3.14.
- ChallengeA cylinder has radius 4 cm and height 5 cm. What is its volume? Take pi as 3.14.
- Error redoFor a cube of edge 3 cm a student writes a surface area of 27 cm squared. What is the correct value?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 72 cm³ | Volume of a cuboid is length times width times height, so 6 times 4 times 3 gives 72 cubic centimetres. |
| 2 | 125 cm³ | The volume of a cube is the edge cubed, so 5 times 5 times 5 gives 125. |
| 3 | 108 cm² | The three pairs of faces have areas 6 by 4, 6 by 3 and 4 by 3, and doubling their sum gives 108. |
| 4 | 180 cm³ | Every prism has volume base area times height, so 20 times 9 gives 180. |
| 5 | 282.6 cm³ | Cylinder volume is pi r squared h, so 3.14 times 9 times 10 gives 282.6. |
| 6 | 62.8 cm² | Curved surface area is two pi r h, so 2 times 3.14 times 2 times 5 gives 62.8. |
| 7 | 113.04 cm³ | Sphere volume is four thirds pi r cubed, so four thirds times 3.14 times 27 gives 113.04. |
| 8 | 314 cm² | Sphere surface area is four pi r squared, so 4 times 3.14 times 25 gives 314. |
| 9 | 251.2 cm³ | Square the radius to get 16, then multiply by 3.14 and by 5 to get 251.2. |
| 10 | 54 cm² | The 27 is the volume; surface area counts six square faces, so 6 times 9 gives 54. |
04 What to do after marking
- After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
- Repeat the same item two days later; move to the next paper only when both attempts are correct.
- Parents only need the answer and note columns; there is no need to explain every item.
Three basics: volume asks how much space is taken, surface area asks how much surface is covered, every prism is base area times height, and cylinders and spheres need the radius, so halve any diameter first.Tutor Registration →
Questions and answers are written originally by the TutorZone team and are not taken from any school, publisher or examination authority paper. Every value is checked by computer.