Revision Notes for Ch 13 Surface Areas and Volumes Class 10th Mathematics
Formulae for Curved Surface Area, Surface Area and Volume of Cuboidl=length, b= breadth, h=height
• Curved/lateral Surface Area = 2h(l +b)
• Surface Area = (lb+bh+lh)
• Volume = lbh
Formulae for Curved Surface Area, Surface Area and Volume of Cube
Side of cube = a
• Curved/lateral surface area = 4a2
• Total Surface Area = 6a2
• Volume = a3
Formulae for Curved Surface Area, Surface Area and Volume of Cylinder
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmVxiXr4u-Mrd9A8L7T_6UfVhq_iTx7dRODinFZD0ebXf1cuTNNrlwwx1EEmTHjcj9wD9SRdXag_eSsJQPku8Ua7gTHGDb3BYCYA-sVJAF_FYccBo-AtsMhMgQMekeU5XulwIKgLew5a3T/s200-rw/cylinder1.JPG)
r = Radius of Cylinder
h = Height of Cylinder
• Curved Surface Area = 2Ï€rh
• Total Surface Area = 2Ï€rh +2 Ï€r2
• Volume = Ï€r2h
Formulae for Curved Surface Area, Surface Area and Volume of Cylinder
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiEtPC2EwdA1qtlKYuZVNYiiYQlp32a8364cL9PXm-bBLbBZJKZFmIR8hpyejeyIal3dHShC2-ibh3X8tPN_Iz_VEEeJE5UHDNTnLPt6mHBvRemwmu77GDPROyA_j1mW59PG5BvxHyZ9-mq/s200-rw/cone1.JPG)
h= height of cone
r = radius of cone
l = slant height of cone =
(h2+r2)
• Curved Surface Area = Ï€rl
• Total Surface Area = Ï€rl + Ï€r2h
•
Formulae for Surface Area and Volume of Sphere
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjB7Nal4G94PZExCqrrZwvkcs6oQag6OGnX-AW0mNrDRVcB8yOUjj88kflMarLUzCdDzbwDuIeFy5HLEyIi6aYbsmP0wcXA3cCMHBE9kXHGv0ucUuv5zFIBV163DKboX-xTwJwWFxemWVpJ/s200-rw/sphere1.JPG)
r= radius
• Surface Area = 4Ï€r2
•![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEibUu6Lm81bBX0LLFx9DUzjY2uo6n0hsKEzrlbTnm18P_ZMy_5okMEToPqtf18pg4NOfqgIEqeZtufu1vJ6FXc-2yDbjwVwRxwbFbS5C14gbDEBR9oapLa1dqMsU0JPR0onQ_TQ88gkYqnv/s1600-rw/volume2.JPG)
Formulae for Curved Surface Area, Total Surface Area and Volume of Hemi-Sphere
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhcSOtvr4D5tAKSEKc0UZRXbSbKy_u2HM4K67KOuCxRGM_0unw0J6w4g0Dn0lTnXKyRglBGdJIcewqpw1A8NK9v4GsqMKncCVUX2J7rZT6xs5UB-FQIJ9_RA0n1rDbmeMArY8h35rAxDRnd/s200-rw/hemisphere1.JPG)
Radius = r
• Curved Surface Area = Ï€r2
• Total Surface Area = 2Ï€r2
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEicfpOi4TFvuM4lem3HpIjeRqQRZiVj4B-EN4Bf46DbIRDh1LOSMdrqjPB78MDkCsaAQ323TgCddxcQRbTANUvAqRc67skEeDYW8fLjStrru3FYQwpTJmZDvn-SyGfZNDx2SnDBipTcw_a8/s1600-rw/volume3.JPG)
Formulae for Lateral Surface Area, Total Surface Area and Volume of Frustum
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhF_9-YWUZ3u_SCozJiAJK1rVHApyf7WZ7mEwkWq-3bmihZGvZe7f7msIlX50JLXLWvJ-ipIZ9JlkJCFVOEuUEpW_2hh4cpX_iTOQew16WSXP0lB95rieZnkj8g6707GSIno956SHTA-3J3/s400-rw/frustrum1.JPG)
• Curved/lateral surface area = 4a2
• Total Surface Area = 6a2
• Volume = a3
Formulae for Curved Surface Area, Surface Area and Volume of Cylinder
r = Radius of Cylinder
h = Height of Cylinder
• Curved Surface Area = 2Ï€rh
• Total Surface Area = 2Ï€rh +2 Ï€r2
• Volume = Ï€r2h
Formulae for Curved Surface Area, Surface Area and Volume of Cylinder
h= height of cone
r = radius of cone
l = slant height of cone =
![](file:///C:/Users/ASUSPC~1/AppData/Local/Temp/msohtmlclip1/01/clip_image002.png)
• Curved Surface Area = Ï€rl
• Total Surface Area = Ï€rl + Ï€r2h
•
Formulae for Surface Area and Volume of Sphere
r= radius
• Surface Area = 4Ï€r2
•
Formulae for Curved Surface Area, Total Surface Area and Volume of Hemi-Sphere
Radius = r
• Curved Surface Area = Ï€r2
• Total Surface Area = 2Ï€r2
Formulae for Lateral Surface Area, Total Surface Area and Volume of Frustum