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- Volume of cuboid → L × B × H
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What is cuboid ?
→ In geometry , Cuboid is a 3 - dimensional convex figure bounded by 6 quadrilateral faces .
- Volume ⇒ l × b × h
- Number of faces ⇒ 6 faces
- Number of edges ⇒12 edges
- Number of vertices ⇒8 vertices
- Base shape ⇒Rectangle
Some common objects with this shape ⇒ Book , Refrigerator , Box , Brick , etc .
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- Volume of the cylinder → πr²h
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What is cylinder ?
→ A solid object with : • two identical flat ends that are circular or elliptical. • and one curved side. It has the same cross - section from one end to the other.
It can also be called as circular prism .
- Number of faces ⇒ 3 faces
- Number of edges ⇒ 2 edges
- Number of vertices ⇒ 0 vertices
- Surface area ⇒ 2 πrh + 2πr²
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- Curved surface area of hemisphere → 2πr²
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What is curved surface area ?
→ The area of the outer surface of the hemisphere is called the curved surface area .
We can easily calculate the surface area of hemisphere → 2πr² units .
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- Sec²Ø - tan²Ø = 1
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sec²( x ) - tan²( x )
→ 1 / cos² - sin²x / cos²x
→ 1 - sin²x / cos²x
→ cos²x / cos²x
[ use property sin²x + cos²x = 1 & isolate cos²x ]
→ cos²x / cos²x
→ 1 ... Verified !!
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- Volume of cube → a³
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What is cube ?
→ In geometry , cube is a solid convex figure with 6 equal faces .
Volume ⇒ a³
- Number of faces ⇒ 6 faces
- Number of edges ⇒12 edges
- Number of vertices ⇒8 vertices
- Base shape ⇒Rectangle
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