Option C:
Lateral area of the prism = 160 m²
Surface area of the prism = 288 m²
Solution:
Given data:
Length of the prism = 16 m
Width of the prism = 4 m
Height of the prism = 4 m
Lateral area of the prism = perimeter of the base × height
= 2(l + w) × h
= 2(16 + 4) × 4
= 2(20) × 4
= 160
Lateral area of the prism = 160 m²
Surface area of the prism = Lateral area + 2lw
= 160 + 2(16 × 4)
= 160 + 128
= 288
Surface area of the prism = 288 m²
Hence option C is the correct answer.
Lateral area of the prism = 160 m²
Surface area of the prism = 288 m²