Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the prisms and the riddle are not given.
The riddle aspect of the question cannot be attempted, else there are clues.
So, I will give a general rule on how to calculate the surface areas of prisms.
For rectangular prisms, the surface area is:
[tex]Area = 2*(Length * Width + Length * Height + Width * Height)[/tex]
For the attached rectangular prism, the area is:
[tex]Area = 2 *(10*11 + 11 * 15 + 10 * 15)[/tex]
[tex]Area = 2 *(425)[/tex]
[tex]Area = 850m^2[/tex]
For triangular prisms, the surface area is:
[tex]Area = L + 2 * B[/tex]
Where
[tex]L \to[/tex] Lateral Area
[tex]B \to[/tex] Base Area
The area of the attached triangular prism is:
[tex]L = (a + b + c) * h[/tex]
[tex]L = (6 + 8 + 10) * 12[/tex]
[tex]L = 24 * 12[/tex]
[tex]L = 288[/tex]
[tex]B = \frac{1}{2} * bh[/tex]
[tex]B = \frac{1}{2} * 6 * 8[/tex]
[tex]B = 24[/tex]
So, we have:
[tex]Area = L + 2 * B[/tex]
[tex]Area = 288 + 2 * 24[/tex]
[tex]Area = 288 + 48[/tex]
[tex]Area = 336ft^2[/tex]
