Answer:
Volume = 42 cm^3, Surface Area = 96 cm^2
Step-by-step explanation:
Volume = Area * Height
S = semi-perimeter or half of the perimeter
Area of the triangle using heron's formula = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
S = (3 + 4 + 5)/2 = 6 cm
Area of triangle = [tex]\sqrt{6(6-3)(6-4)(6-5)}[/tex]
= [tex]\sqrt{6 * 3 * 2 * 1}[/tex]
= [tex]\sqrt{36}[/tex]
= 6 cm^2
Volume = 6 * 7
= 42 cm^3
Surface Area = Area of bases * Area of Lateral faces
Area of lateral faces = 7 * 3 + 7 * 4 + 7 * 5 = 84 cm^2
Area of bases = 6 cm^2 * 2 = 12 cm^2
Surface area = 12 cm^2 + 84 cm^2 = 96 cm^2
