Class 9 • Maths • Chapter 11
SURFACE AREAS AND VOLUMES
True & False Quiz
Cuboid. Cylinder. Sphere.
✓True
✗False
25
Questions
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Ch.11
Chapter
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IX
Class
Why True & False for SURFACE AREAS AND VOLUMES?
How this format sharpens your conceptual clarity
🔵 Surface Areas and Volumes connect geometry to the physical world — packaging, water storage, and construction all rely on these formulas.
✅ T/F targets formula confusion between CSA, TSA, and Volume for cuboids, cylinders, cones, and spheres.
🎯 For a cylinder, CSA = 2πrh but TSA = 2πr(h+r) — the two circular ends must be added for TSA.
📋
Read each statement carefully. Click True or False — instant feedback with explanation appears. Submit anytime; unattempted questions are marked Skipped.
Q 1
The formula for the surface area of a sphere is \(\pi r^2\).
Q 2
The volume of a cuboid is given by \(l \times b \times h\).
Q 3
The curved surface area of a cylinder is \(2\pi rh\).
Q 4
The total surface area of a closed cylinder is \(2\pi rh + 2\pi r^2\).
Q 5
The volume of a cube is \(a^3\), where \(a\) is the length of each edge.
Q 6
The surface area of a cone is always less than its volume.
Q 7
The volume of a sphere is \(\frac{4}{3}\pi r^3\).
Q 8
The curved surface area of a cone is \(\pi r l\), where \(l\) is slant height.
Q 9
Surface area of a hemisphere is half the surface area of a sphere.
Q 10
The volume of a hemisphere is half the volume of a sphere.
Q 11
In a sphere, radius and diameter are always the same.
Q 12
The area of the base of a cylinder is \(\pi r^2\).
Q 13
A cube has 12 edges.
Q 14
All faces of a cuboid are squares.
Q 15
The surface area of a cube is \(6a^2\), whereaaais side length.
Q 16
For a cone, the perpendicular height is always equal to the slant height.
Q 17
A sphere has only curved surface, no flat surface.
Q 18
The curved surface area of a hemisphere is \(2\pi r^2\).
Q 19
The volume of a cylinder is \(2\pi r^2 h\).
Q 20
The surface area of a cuboid is \(2(lb + bh + hl)\).
Q 21
The base of a cone is a circle.
Q 22
The height of a cylinder is the distance between its two bases.
Q 23
The surface area of a sphere increases as the radius increases.
Q 24
The formula for the volume of a cone is \(\frac{1}{3}\pi r^2 h\).
Q 25
A hemisphere has more total surface area than a sphere of the same radius.
Key Takeaways — SURFACE AREAS AND VOLUMES
Core facts for CBSE Boards & exams
1
Cuboid: LSA = 2h(l+b); TSA = 2(lb+bh+hl); V = lbh.
2
Cube (side a): LSA = 4a²; TSA = 6a²; V = a³.
3
Cylinder: CSA = 2πrh; TSA = 2πr(h+r); V = πr²h.
4
Cone: CSA = πrl; TSA = πr(l+r); V = ⅓πr²h; l² = r²+h².
5
Sphere: SA = 4πr²; V = ⅔πr³.
6
Hemisphere: CSA = 2πr²; TSA = 3πr²; V = ⅔πr³ ÷ 2 = ²∕₃πr³.