Question

Marie made a model (shown below) of the square pyramid she plans to build when she grows up. Find the surface area of the model. \text{ m}^2 m 2 start text, m, end text, squared

Answer 1

Answer:

144m²

Step-by-step explanation:

The the model made by Marie is attached in the diagram below.

The square pyramid model that Marie has in mind of building has 4 congruent triangular faces on the four sides of the square pyramid, and 1  base square. Therefore the surface area of the square pyramid = area of the square + area of 4 triangles = b² + 4(1/2*b*h)

Given that b = 8, and h = 5, we have:

Surface area = 8² + 4(1/2*8*5)

= 64 + 4(20)

= 64 + 80

SA of the square pyramid = 144m²