Unit 6 surface area sample work

Answer 1

1. Find the surface area of a rectangular prism with dimensions:

Length = 5 cm
Width = 3 cm
Height = 4 cm

Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(5)(3) + 2(5)(4) + 2(3)(4)
Surface Area = 30 + 40 + 24
Surface Area = 94 cm²

2. Find the surface area of a cylinder with dimensions:

Radius = 3 cm
Height = 6 cm

Surface Area = 2πr² + 2πrh
Surface Area = 2π(3)² + 2π(3)(6)
Surface Area = 2π(9) + 2π(18)
Surface Area = 18π + 36π
Surface Area ≈ 169.65 cm²

3. Find the surface area of a sphere with a radius of 4 cm.

Surface Area = 4πr²
Surface Area = 4π(4)²
Surface Area = 4π(16)
Surface Area ≈ 201.06 cm²

4. Find the surface area of a cone with dimensions:

Radius = 5 cm
Slant height = 8 cm

Surface Area = πr² + πrl
Surface Area = π(5)² + π(5)(8)
Surface Area = π(25) + π(40)
Surface Area = 25π + 40π
Surface Area ≈ 219.91 cm²