Answer:
The surface area is [tex]198.75\ ft^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the bottom
[tex]A = s^2[/tex]
[tex]A = (7.5\ ft)^2[/tex]
[tex]A = 56.25\ ft^2[/tex]
Step 2: Determine the area of the triangles
[tex]A = \frac{h * b}{2}[/tex]
[tex]A = \frac{9.5\ ft * \frac{7.5\ ft}{2}}{2}[/tex]
[tex]A=\frac{9.5\ ft*3.75\ ft}{2}[/tex]
[tex]A = 17.8125\ ft^2[/tex]
There are two of these right triangles on every side which means that we have 8 of these triangles so we multiply the area that we got by 8.
[tex]A = 17.8125\ ft^2 * 8[/tex]
[tex]A=142.5\ ft^2[/tex]
Step 3: Combine the area to get the surface area
[tex]A_{total}=56.25\ ft^2+142.5\ ft^2[/tex]
[tex]A_{total}=198.75\ ft^2[/tex]
Answer: The surface area is [tex]198.75\ ft^2[/tex]
