Answer:
Cube=150cm^2
Triangular Prism=228ft^2
Step-by-step explanation:
Cube
[tex]A=6a^2=6*5^2=150cm^2[/tex]
Triangular prism
Using these formulas
[tex]A=2A_{B}+(a+b+c)h\\A_{B} =\sqrt{s(s*a)(s*b)(s*c)} \\s=\frac{a+b+c}{2}[/tex]
Solving for A
[tex]A=ah+bh+ch+\frac{1}{2} \sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4} \\=6.5*11+5*11+6.5*11+\frac{1}{2} *\sqrt{-6.5^4+2*(6.5*5)^2+2*(6.5*6.5)^2-5^4+2*(5*6.5)^2-6.5^4} \\=228ft^2[/tex]
