formulaz for surface area and volume class 10th
Answers
Answer:
Cube
cube.jpg
Lateral Surface Area = 4a 2
Total Surface Area = 6a 2
Volume = a 3
Cuboid
Cuboid.jpg
Lateral Surface Area = 2(lh + bh) = 2 (l + b) h
Total Surface Area = 2(lb + bh + lh)
Volume = l x b x h
Cylinder
Cylinder.jpg
Curved Surface Area = 2πrh
Total Surface Area = 2πrh + πr 2 + πr 2 = 2πrh + 2πr 2 = 2πr(r + h)
Volume = πr 2 h
Cone
cone.jpg
Curved Surface Area = πrl
Total Surface Area = πrl + πr 2 = πr(r + l)
Volume = 1/3 πr 2 h
Hemisphere
Hemisphere.jpg
Curved Surface Area = 2πr 2
Total Surface Area = 2πr 2 + πr 2 = 3πr 2
Volume = 2/3 πr 3
Sphere
Sphere.jpg
Surface Area = 4πr 2
Volume = 4/3 πr 3
Frustum
Frustum.jpg
Curved Surface Area = π(r 1 + r 2 )l
Total Surface Area =π(r 1 + r 2 )l + πr 1 2 + πr 2 2
Volume = 1/3 πh (r 1 2 + r 2 2 + r 1 r 2 )
Answer:
Cuboid
Volume = l×b×h
LSA = 2(l+b) h or, 2lb + 2bh + 2hl
TSA = 2(lb + bh + hl)
Cube
Volume = a^3
LSA = 4a^2
TSA = 6a^2
Cylinder
Volume = pi r^2h
CSA = 2pi rh
TSA = 2pi r(r+h)
Cone
Volume = 1/3 pi r^2h
CSA = pi rl
TSA of a right circular cone = pi r(l+r)
Hemisphere
Volume = 2/3 pi r^3
CSA = 2pi r^2
TSA = 3pi r^2
Sphere
Volume = 4/3 pi r^2