Question

I m not understanding surface area and volume chepter can u plz help me?

Answer 1

$\bf\huge\boxed{\boxed{\bf\:Attached\:pic\:is\:created\:by\:me}}}$

⇒ CSA of cuboid = 2(bh + hl)

⇒ TSA of Cuboid = 2(lb + bh + hl)

⇒ Volume of Cuboid = Length × Breadth × Height

--------------------------------------------------------------------------------------

⇒ CSA of cube = 4L^2

⇒ TSA of Cube = 6L^2

⇒ Volume of Cube = Length^3

--------------------------------------------------------------------------------------

⇒ CSA of  Right Circular Cylinder = 2πrh

⇒ TSA of  Right Circular Cylinder = 2πr(r + h)

⇒ Volume of  Right Circular Cylinder = πr^2h

--------------------------------------------------------------------------------------

⇒ CSA of Right Circular Cone = πrl

⇒ TSA of Right Circular Cone  = πr(r + l)

⇒ Volume of Right Circular Cone  = 1/3 (πr^2h)

--------------------------------------------------------------------------------------

⇒ CSA of Sphere = 4πr^2

⇒ TSA of Sphere   = 4πr^2

⇒ Volume of Sphere   = 4/3 (πr^3)

--------------------------------------------------------------------------------------

⇒ CSA of Hemisphere = 2πr^2

⇒ TSA of  Hemisphere    = 3πr^2

⇒ Volume of  Hemisphere  = 2/3 (πr^3)

--------------------------------------------------------------------------------------

⇒ CSA of Frustum = πl(r + R)

⇒ TSA of  Frustum  = πl(r + R) + p(r^2 + R^2)

⇒ Volume of  Frustum  = 1/3 πh(r^2 + R^2 + rR)

--------------------------------------------------------------------------------------

⇒ CSA of Right Circular Hollow Cylinder = 2πh(r + R)

⇒TSA of Right Circular Hollow Cylinder  = 2π(r + R) (h + R – r)

⇒  Volume of Right Circular Hollow Cylinder  = πh(R^2 – r^2)

$\bf\huge\boxed{\boxed{\bf\:Note=\:Pic\:is\:created\:by\:me}}}$

Answer 2

　　　　　　Cuboid

♦ CSA of cuboid ➾ 2(bh + hl)

♦ TSA of Cuboid ➾ 2(lb + bh + hl)

♦ Volume of Cuboid ➾ Length × Breadth × Height

　　　　　　Cube

♦ CSA of cube = 4L²

♦ TSA of Cube = 6L²

♦ Volume of Cube = Length³

　　　　　　Cylinder

♦ CSA of  Right Circular Cylinder = 2πrh

♦ TSA of  Right Circular Cylinder = 2πr(r + h)

♦ Volume of  Right Circular Cylinder = πr²h

　　　　　　Cone

♦ CSA of Right Circular Cone = πrl

♦ TSA of Right Circular Cone  = πr(r + l)

♦ Volume of Right Circular Cone  = 1/3 (πr²h)

　　　　　　Sphere

♦ CSA of Sphere = 4πr²

♦ TSA of Sphere   = 4πr²

♦ Volume of Sphere   = 4/3 (πr²)

　　　　　　Hemisphere

♦ CSA of Hemisphere = 2πr²

♦ TSA of  Hemisphere    = 3πr²

♦ Volume of  Hemisphere  = 2/3 (πr²)

　　　　　　Frustum

♦ CSA of Frustum = πl(r + R)

♦ TSA of  Frustum  = πl(r + R) + p(r² + R²)

♦ Volume of  Frustum  = 1/3 πh(r² + R² + rR)

　　　　　　Cylinder

♦ CSA of Right Circular Hollow Cylinder = 2πh(r + R)

♦TSA of Right Circular Hollow Cylinder  = 2π(r + R) (h + R – r)

♦  Volume of Right Circular Hollow Cylinder  = πh(R² – r²)