Answer:
13 cm
Step-by-step explanation:
slant height = [tex]\sqrt{12^2 +\frac{10^2}{4} }[/tex]
=[tex]\sqrt{144 + \frac{100}{4} }[/tex]
=[tex]\sqrt{144 + 25}[/tex]
=[tex]\sqrt{169}[/tex]
=13 cm
a=10 cm
l =
surface area =[tex]a^{2} + 2a \sqrt{\frac{a^{2} }{4} +h^{2} }[/tex]
=[tex]10^{2} +2*10 \sqrt{\frac{10^{2} }{4} +12^{2} } \\100 + 20 \sqrt{\frac{100}{4} + 144} \\100 + 20\sqrt{25 + 144} \\100 + 20 \sqrt{169} \\100 + 20*13\\100 + 260\\360 cm^2[/tex]
