Answer:
area de las base = 43.01 m²
lateral area = 175 cm²
area total = 261.02 cm²
total y volumen = 301.1 cm³
Explanation:
Un prisma pentagonal derecho es un prisma con dos caras pentagonales paralelas y congruentes y cinco caras rectangulares perpendiculares a las triangulares.
altura de prisma (h) = 7cm, pentagono base (a) = 5cm
area de las base = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}*a^2 = \frac{1}{4}\sqrt{5(5+2\sqrt{5})}*5^2 = 0.25*6.88*25=43.01cm^2[/tex]
lateral area = [tex]5ah=5*5*7=175cm^2[/tex]
area total = lateral area + 2(area de las base) = 175 + 2(43.01) = 261.02 cm²
total y volumen = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}*a^2h = \frac{1}{4}\sqrt{5(5+2\sqrt{5})}*5^2*7 = 0.25*6.88*25*7=301.1cm^3[/tex]
