Question

Geometry question help anyone!!!

Answer 1

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