Question

Explain :

Surface Area of a Cuboid and a Cube

Surface Area of a Right Circular Cylinder

Surface Area of a Right Circular Cone

Surface Area of a Sphere

Volume of a Cuboid

Volume of a Cylinder

Class 9 ​

Answer 1

Answer:

Step-by-step explanation:

uboid whose length = l, breadth = b and height = h

(a) Volume of cuboid = lbh

(b) Total surface area of cuboid = 2 ( lb + bh + hl )

(c) Lateral surface area of cuboid = 2 h (l + b)

(d) Diagonal of cuboid = 222 lbh + +

• Cube whose edge = a

(a) Volume of cube = a3

(b) Lateral Surface area = 4a2

(c) Total surface area of cube = 6a2

(d) Diagonal of cube = a 3

• Cylinder whose radius = r, height = h

(a) Volume of cylinder = πr2

h

(b) Curved surface area of cylinder = 2πrh

(c) Total surface area of cylinder = 2πr (r + h)

• Cone having height = h, radius = r and slant height = l

(a) Volume of cone =

1 2

3

πr h

(b) Curved surface area of cone = πrl

(c) Total surface area of cone = πr (l + r)

(d) Slant height of cone (l) = 2 2 h r +

• Sphere whose radius = r

(a) Volume of sphere =

4 3

3

πr

(b) Surface area of sphere = 4πr2

• Hemisphere whose radius = r

(a) Volume of hemisphere =

2 3

3

πr

(b) Curved surface area of hemisphere = 2πr

Answer 2

Answer :-

Surface area of a cuboid:

⟹ 2(lb + bh + hl)

Where:-

• l = length
• b = breadth
• h = height

Surface area of a cube:

⟹ 6a²

Where:-

• a = side

Surface area of a right circular cylinder:

⟹ 2πr(r + h)

Where:-

• r = radius
• h = height

Surface area of a right circular cone:

⟹ πr(r + l)

Where:-

• r = radius
• l = length

Surface area of a sphere:

⟹ 4πr²

Where:-

• r = radius

Volume of cuboid:

⟹ lbh

Where:-

• l = length
• b = breadth
• h = height

Volume of cylinder:

⟹ πr²h

Where:-

• r = radius
• h = height

Note:

• Surface area means the total surface area only not the lateral surface area.
• Area units are (cm/m)² and volume are (cm/m)³.