Answer:
The answer is A. 755 m2; 815 m2
Step-by-step explanation:
The answer is A) 472m^2; 486 m^2.
Let a, b, and c be the sides of the base and h be the height of the prism
a = 2 m
b = 7 m
c = 7.28 m
h = 29 m
The lateral surface area is:
LA = a*h + b*h + c*h = h * (a + b + c)
LA = 29 * (2 + 7 + 7.28) = 29 * 16.28 ≈ 472 m²
The surface area is:
SA = LA + 2 * 1/2 * a * b
SA = 472 + 2 * 7 = 472 + 14 = 486 m²
Answer:
The lateral surface area is 755 sq.m. and total surface area is 785 sq.m.
Step-by-step explanation:
Let a, b, and c be the sides of the base and h be the height of the prism.
a = 5 m
b=6 m
c=11.21 m
h = 34 m
Lateral surface area of triangular prism = [tex](a+b+c)h[/tex]
= [tex](5+6+11.21)34[/tex]
=755.14 sq.m.
Total surface are of triangular prism = Lateral surface area + area of 2 triangles
=[tex]755.14+2 (\frac{1}{2} \times b\times h)[/tex]
=[tex]755.14+2 (\frac{1}{2} \times 5\times 6)[/tex]
=[tex]785.14[/tex]
Thus the lateral surface area is 755 sq.m. and total surface area is 785 sq.m.
Option B is correct.
