All the formulas of Surface area and volume class 10
Answers
Cuboid
TSA = 2(lb+bh+hl)
CSA = 2(l+b)h
Volume = lbh
CUBE
TSA = 6a²
CSA=4a²
volume=a³
CYLINDER
TSA=2πr(r+h)
CSA = 2πrh
volume = πr²h
CONE
TSA = πr(r+l)
CSA =πrl
Volume=1/3πr²h
Sphere
TSA = 4πr²
volume=4/3πr³
Hemisphere
TSA = 3πr²
CSA= 2πr²
volume= 2/3πr³
Answer:
Step-by-step explanation:
1) Cube
Curved surface area (CSA) of cube = 4a²
Total surface area (TSA) of cube = 6a²
Volume = a³ ( Note that all the sides of a cube are equal)
2) Cuboid
CSA = 2h(l + b)
TSA = 2 (lb + bh + hl)
Volume= lbh ( l, b, and h stands for length, breadth and height respectively)
3) Cone
CSA = πrl
TSA = πr(l+r)
Volume = 1/3πr²h ( r is the radius, h is the height and l is the slant height. l can be found using the formula l² = h²+r².)
4) Sphere
TSA = 4πr²
Volume = 4/3πr³ ( r is the radius of the sphere)
5) Hemisphere
CSA = 2πr²
TSA = 3πr²
Volume = 2/3πr³
6) Cylinder
CSA = 2πrh
TSA = 2πr(r+h)
Volume = 2πr²h ( r and h are the radius and height of the cylinder respectively.)
7) Frustum of a cone
CSA = πL(r+R)
TSA = πL(R+r) + π(R²+r²)
Volume = 1/3πHr²+R²+rR)
L² = H² + (R-r)²