Answer:
area of the base = (5)(3) + (2)(3) + (5)(3) = 36 [tex]cm^2[/tex]
Height of prism is 5 cm
SA = 2(area of base) + 2(5 x 5)
2(36) + 2(25) = 72 + 50 = 122 [tex]cm^2[/tex]
V = (5)(3)(5) + (2)(3)(5) + (5)(3)(5) = 180 [tex]cm^3[/tex]
Height of prism is 10 cm
SA = 2(area of base) + 2(5 x 10)
= 2(36) + 2(50) = 72 + 100 = 172 [tex]cm^2[/tex]
V = (5)(3)(10) + (2)(3)(10) + (5)(3)(10) = 360 [tex]cm^3[/tex]
% increase
SA: 172 - 122 = 50
50/122 ≈ .409
.409 x 100 = 40.9% increase
V: 360 - 180 = 180
180/180 = 1
1 x 100 = 100% increase
