Filling against covering
What is the difference?
Volume asks how much space is inside, in cubic units.
📚 Chapter Learning Kit
Surface Area and Volume · Class 9 Mathematics
English 3 topics 174 leveled MCQs 60 flashcards 4 games Free
Shared by a Veda teacher · Generated with Veda AI · Oct 2026
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✏️ Example
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Read the verb
Which one does the question want?
Filling, holding or capacity means VOLUME.
The solid version of a rectangle
What is a cuboid?
Six rectangular faces meeting at right angles, with length, width and height.
Radius, height and slant height
What three lengths does a cone have?
The radius $r$ of the base, the height $h$ straight up to the apex.
They form a right triangle
How are they related?
The height is perpendicular to the base, so $l^2 = r^2 + h^2$.
It is 24
$r = 7$ and $l = 25$: find $h$
$h^2 = 625 - 49 = 576$, so $h = 24$.
📖 Smart notes
What you'll study, topic by topic
1
Cuboids, cubes and the right circular cylinder
Surface area and volume are two different questions about one solid: one asks how much skin it has, the other how much space is inside. A cuboid gives $lwh$ and $2(lw + wh + hl)$, a cube the same with equal edges, and a…
~40 min · full explanation, examples & memory tricks in the app
2
Cones and pyramidal shapes
A cone has three lengths — radius, height and slant height — tied by $l^2 = r^2 + h^2$, and which one a formula wants is the whole difficulty: $\pi r l$ takes the SLANT height while $\frac{1}{3}\pi r^2 h$ takes the heigh…
~45 min · full explanation, examples & memory tricks in the app
3
Spheres, hemispheres and volumes around us
A sphere is a circle one dimension up, with surface area $4\pi r^2$ — which Archimedes found by matching it to the curved surface of a cylinder of height $2r$ — and volume $\frac{4}{3}\pi r^3$. Cutting one in half halves…
~45 min · full explanation, examples & memory tricks in the app
❓ Leveled MCQ practice
Try the smart MCQs from this kit
174 questions laddered from warm-up to topper-level, each with an explanation. A taste:
Volume measures
Beginner
A the skin of a solid, in square units such as $\text{cm}^2$
B the total length of all the edges of a solid
C the largest distance between two points of a solid
D the space inside a solid, in cubic units such as $\text{cm}^3$
Show answer & explanation
the space inside a solid, in cubic units such as $\text{cm}^3$
Volume is about filling, and its units are cubed.
Surface area measures
Beginner
A the skin of a solid, in square units such as $\text{cm}^2$
B the space inside a solid, in cubic units such as $\text{cm}^3$
C the total length of all the edges of a solid
D the height of the solid measured from its base
Show answer & explanation
the skin of a solid, in square units such as $\text{cm}^2$
Surface area is about covering, and its units are squared.
A question asks how much paint is needed for the outside of a box. You want
Beginner
A the volume, because the paint has to fill the box
B the surface area, because painting covers the skin
C the sum of the edges, because paint runs along them
D the height, because paint is sold by the metre
Show answer & explanation
the surface area, because painting covers the skin
Covering means surface area.
A question asks how much water a tank holds. You want
Beginner
A the surface area, because the water touches the walls
B the sum of the edges of the tank
C the volume, because holding is about the space inside
D the depth alone, measured from the top
Show answer & explanation
the volume, because holding is about the space inside
Filling means volume.
🃏 Flashcards
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60 flashcards in this kit — the app reviews them with spaced repetition so the right card returns on the right day.
🎮 Learning games
Play your way through this kit
Every game is built from this kit's own content — scores feed your mastery, so playing counts as studying.
Word Match
True False
Fill Blank
Word Scramble
Playable in the app
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