Surface Areas and Volumes Class 9 Notes Maths Chapter 13

On this page, you will find Surface Areas and Volumes Class 9 Notes Maths Chapter 13 Pdf free download. CBSE NCERT Class 9 Maths Notes Chapter 13 Surface Areas and Volumes will seemingly help them to revise the important concepts in less time.

CBSE Class 9 Maths Chapter 13 Notes Surface Areas and Volumes

Surface Areas and Volumes Class 9 Notes Understanding the Lesson

Cuboid: With length T, breadth ‘b’ and height ‘h’
(a) Volume = lbh
(b) Total surface area = 2(lb + bh + hl)
(c) Lateral surface area = 2h(l + b) (c)

(d) Diagonal = \(\sqrt{l^{2}+b^{2}+h^{2}}\)
(e) Perimeter = 4(l + b + h)

Cube: With side ‘a’
(a) Volume = a³
(b) Total surface area = 6a²
(c) Lateral surface area = 4a²

(d) Diagonal = \(\sqrt{3} a\)
(e) Perimeter = 12a

Right circular cylinder: With radius ‘r’ and height ‘h’
(a) Volume = πr²h
(b) Curved surface area = 2πrh

(c) Total surface area = 2πr(h + r)

Right circular cone: With radius ‘r’, height ‘h’ and slant height ‘l’
(a) Volume = \(\frac{1}{3}\) πr² h or \(\frac{1}{3}\) x (Area of the base) x height

(b) Curved surface area = πrl, where \(l=\sqrt{h^{2}+r^{2}}\)
(c) Total surface area = πr(l + r)

Sphere: With radius ‘r’
(a) Volume =\(\frac{4}{3}\) πr³

(b) Surface area = 4πr²

Hemisphere: With radius ‘r’
(a) Volume = \(\frac{2}{3}\)πr³
(b) Curved surface area = 2πr²

(c) Total surface area = 3πr²