Answer:
68cm²
Step-by-step explanation:
The total surface area of the bite= total surface area of the sphere + total surface area of the rectangular prism
Total surface area of a sphere Ss = 4πr²
r = radius of the sphere = diameter/2
Given diameter of the sphere= 3cm; r = 3/2 cm
Ss = 4π(3/2)²
Ss = 4π*9/4
Ss = 9πcm²
For the rectangular prism
Total surface area Sr = 2WL + 2LH + 2HW
W = width of the prism
L = length of the prism
H = height of the prism
Given W = 4cm, L = 4cm, H = 0.5cm
Sr = 2(4)(4) + 2(4)(0.5) + 2(0.5)(4)
Sr = 32+4+4
Sr = 40cm²
Surface area of the bite = 9π + 40
Surface area of the bite = 68.27cm²
Surface area of the bite = 68cm² (to nearest square of a centimetre)
