Surface areas and volumes:
The chapter 'Surface areas and volumes' is typically carries a weightage of around 6 marks in the board exam. it covers the concepts like surface area of combined solids and volume of combined solids.
Most possible variation of question type that we can expect in board exams as per previous year question paper are discussed below:
| Total Marks 6 | |
| Variation 1 | Variation 2 |
Total marks = 6
|
Total marks = 6
|
- Surface area of combined solids - Curved surface area and total surface area of combined solids
- Volume of combined solids - Volume of combined solids
| Important Concpet(Learning Outcomes) | Expected Question Type | Concept dealt with |
| Surface area of combined solids |
|
|
| Surface area of combined solids | Sec C, Sec D, Sec E | |
| Volume of combined solids | Sec A, Sec B | |
| Volume of combined solids | Sec C, Sec D |
Let us recall the concepts in Surface areas and volumes:
| SOLID | TOTAL SURFACE AREA | CURVED SURFACE AREA | VOLUME |
| Cube | \(6a^2\) | \(4a^2\) | \(a^3\) |
| Cuboid | \(2(lb+bh+hl)\) | \(2h(l+b)\) | \(lbh\) |
| Cone | \(\pi r(l+r)\) | \(\pi rl\) | \(\frac{1}{3}\pi r^2h\) |
| Cylinder | \(2\pi r(h+r)\) | \(2\pi rh\) | \(\pi r^2h\) |
| Sphere | \(4\pi r^2\) | \(4\pi r^2\) | \(\frac{4}{3}\pi r^3\) |
| Hemisphere | \(3\pi r^2\) | \(2\pi r^2\) | \(\frac{2}{3}\pi r^3\) |