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P RAVINDRA#➗10th గణితం #📘ఇంటర్ సైన్స్ & మ్యాథ్స్ #📖ఎడ్యుకేషన్✍ #🏆పోటీ పరీక్షల స్పెషల్ #👩💻టెట్/DSC ప్రత్యేకం![LOGARITHMS Synopsis and Formulae logx N 0>0,1>0,1#1 a = a = xN ; logm logm logm 2 (ab) b a+ S ()= logm] logm logm bl 0 logb logb 111 m a Q ಕ 1 logb logb" | b >0,b#1, 5 0 m 0>0, i # 0 ) m logb" logb 0 n loga 0 1 ೆಕ logb 8 b = 1 PRAVINDRA LOGARITHMS Synopsis and Formulae logx N 0>0,1>0,1#1 a = a = xN ; logm logm logm 2 (ab) b a+ S ()= logm] logm logm bl 0 logb logb 111 m a Q ಕ 1 logb logb" | b >0,b#1, 5 0 m 0>0, i # 0 ) m logb" logb 0 n loga 0 1 ೆಕ logb 8 b = 1 PRAVINDRA](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_569656_1324445d_1785001568444_sc.jpg?tenant=sc&referrer=feed-service&f=444_sc.jpg)
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![MATHS TUITIONS 1th MATHS WARASIGUDA, SECUNDERABAD MENSURATION SYNOPSIS CUBOID Lateral Surface Area of the Cuboid (L.S.A) = 2h(l + b) here [ = length Total Surface Area of the Cuboid (T.S.A) २(Ib + bh + hl) b = breadth h = height V = Ibh Volume of the Cuboid 2) CUBE : 4$2 Lateral Surface Area of the Cube (L.S.A) here side or) edge 6$2 Total Surface Area of the Cube (T.S.A) of the cube $3 Volume of the Cube V 3) REGULAR CIRCULAR CYLINDER : Curved Surface Area of the Cylinder (C.S.A) = 2nrh here 1 radius of the base Total Surface Area of the Cylinder (TSA) = Zir(h + r) h = height TT2h Volume of the Cylinder; V SPHERE 4TT2 Surface Area of the Sphere; A= here ٣ = radius 3 Volume of the Sphere, V T1*3 5) HEMISPHERE Hemisphere (C.S.A) 2112' Curved Surface Area of the hereT = rudius 31T2 Total Surface Area of the Hemisphere (T S.A) = 2 Volume of the Hemisphere, V Tr3 3 6) RIGHt CIRCULAR CONE here r = radius Curved Surface Area of the Cone (C.S.A) = nrl of the base Total Surface Area of the Cone (T.S.A) = nr(r + 4) height h = TT2h Volume of the Cone, V = slant height] 3 Also [2 = 12 + h2 Practice Today, Success Tomorrow! PRAVINDRA, MSc Dedicated to Your Success in MATHS MATHS TUITIONS 1th MATHS WARASIGUDA, SECUNDERABAD MENSURATION SYNOPSIS CUBOID Lateral Surface Area of the Cuboid (L.S.A) = 2h(l + b) here [ = length Total Surface Area of the Cuboid (T.S.A) २(Ib + bh + hl) b = breadth h = height V = Ibh Volume of the Cuboid 2) CUBE : 4$2 Lateral Surface Area of the Cube (L.S.A) here side or) edge 6$2 Total Surface Area of the Cube (T.S.A) of the cube $3 Volume of the Cube V 3) REGULAR CIRCULAR CYLINDER : Curved Surface Area of the Cylinder (C.S.A) = 2nrh here 1 radius of the base Total Surface Area of the Cylinder (TSA) = Zir(h + r) h = height TT2h Volume of the Cylinder; V SPHERE 4TT2 Surface Area of the Sphere; A= here ٣ = radius 3 Volume of the Sphere, V T1*3 5) HEMISPHERE Hemisphere (C.S.A) 2112' Curved Surface Area of the hereT = rudius 31T2 Total Surface Area of the Hemisphere (T S.A) = 2 Volume of the Hemisphere, V Tr3 3 6) RIGHt CIRCULAR CONE here r = radius Curved Surface Area of the Cone (C.S.A) = nrl of the base Total Surface Area of the Cone (T.S.A) = nr(r + 4) height h = TT2h Volume of the Cone, V = slant height] 3 Also [2 = 12 + h2 Practice Today, Success Tomorrow! PRAVINDRA, MSc Dedicated to Your Success in MATHS](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_391106_b3181a5_1785168389873_sc.jpg?tenant=sc&referrer=feed-service&f=873_sc.jpg)
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