Surface Area and Volume

Understanding Surface Area and Volume

1. Cube

Surface Area = 6s², Volume = s³

2. Rectangular Prism

Surface Area = 2(lw + lh + wh), Volume = lwh

3. Sphere

Surface Area = 4πr², Volume = (4/3)πr³

4. Cylinder

Surface Area = 2πr(h + r), Volume = πr²h

5. Cone

Surface Area = πr(l + r), Volume = (1/3)πr²h

Example:

Example: Find the volume of a cylinder with radius 4 cm and height 10 cm.

            Volume = πr²h
                   = π(4²)(10)
                   = π(16)(10)
                   = 160π cm³ ≈ 502.65 cm³

Try Solving It Yourself:

Calculate the surface area and volume of a sphere with a radius of 5 cm.