Answer:
The surface area is [tex]325.4m^2[/tex]
The lateral surface area is: [tex]292.4m^2[/tex]
Step-by-step explanation:
Given
[tex]L = 3m[/tex] -- Length
[tex]H =17.2m[/tex] --- Height
[tex]W = 5.5m[/tex] --- Width
See attachment for prism
Solving (a): The surface area
This is calculated as:
[tex]S.A = 2 * (LW + WH + LH)[/tex]
This gives:
[tex]S.A = 2 * (3*17.2 + 17.2 * 5.5 + 3 * 5.5)[/tex]
[tex]S.A = 2 * (51.6 + 94.6 + 16.5)[/tex]
[tex]S.A = 2 * 162.7[/tex]
[tex]S.A = 325.4m^2[/tex]
Solving (b): The lateral surface area
This is calculated as:
[tex]L = 2 * (L + W) * H[/tex]
So, we have:
[tex]L = 2 * (3 +5.5) * 17.2[/tex]
[tex]L = 2 * 8.5 * 17.2[/tex]
[tex]L = 292.4m^2[/tex]
