Answer:
(Triangular pyramid)
Lateral area = 1650[tex]m^{2}[/tex]
Total surface area = 1860.1[tex]m^{2}[/tex]
(Triangular prism)
Volume = 660[tex]cm^{3}[/tex]
Step-by-step explanation:
For the triangular pyramid
Area of triangle = [tex]\frac{1}{2}[/tex] × base × height
Area of the base = [tex]\frac{1}{2}[/tex] × 22 × 19.1 = 210.1
Area of the sides = [tex]\frac{1}{2}[/tex] × 22 × 50 = 550
Number of sides (excluding base) = 3
∴ Total Area = 210.1 + (550 × 3)
= 210.1 + 1650 = 1860.1[tex]m^{2}[/tex]
Lateral Area = (550 × 3) = 1650[tex]m^{2}[/tex]
For the triangular prism
Area of the triangle = [tex]\frac{1}{2}[/tex] × 12 × 5 = 30
Volume = Area x Height
Volume = 30 × 22 = 660[tex]cm^{3}[/tex]
