Question

Find the SURFACE AREA of the composite figure below
ASAP

Answer 1

248.26 cm²

Explanation:

Surface area of the composite figure = (surface area of cuboid + surface area of hemisphere) - 2(base area of hemisphere)

Surface area of cuboid =
`2(lw + lh + hw)`

Where,

l = 10 cm

w = 5 cm

h = 4 cm

Plug in the values into the formula:

`SA = 2(10*5 + 10*4 + 4*5)`

`SA = 2(50 + 40 + 20)`

`SA = 2(110) = 220 cm^2`

Surface area of hemisphere = 3πr²

Where,

π = 3.14

r = 3 cm

SA of hemisphere = 3*3.14*3² = 3*3.14*9 = 84.78 cm²

Base area of hemisphere = πr²

BA = 3.14*3² = 3.14*9 = 28.26 cm²

Surface area of the composite shape = (220 + 84.78) - 2(28.26)

= 304.78 - 56.52

SA = 248.26 cm²