PLEASE HELP
Find the surface area of the composite solid if the base is a regular hexagon. Round your answer to the nearest hundredth.
A.
471.53 m2
B.
615.53 m2
C.
709.06 m2
D.
802.59 m2

PLEASE HELP Find the surface area of the composite solid if the base is a regular hexagon Round your answer to the nearest hundredth A 47153 m2 B 61553 m2 C 709 class=

Respuesta :

The answer is B. 615.53 m2.

The surface area (SA) is the sum of base area (A1), 6 areas of rectangle with sides 6 m and 7m (A2), and 6 areas of triangles with sides 15 m and 6 m (A3):
SA = A1 + 6A2 + 6A3
____
A1 = 3√3 * a² / 2
a = 6 m
A1 = 3√3 * 6² / 2 = 3√3 * 36 / 2 = 54√3 = 93.53 m²
____
A2 = a * b
a = 6 m
b = 7 m
A2 = 6 * 7 = 42 m²
____
A3 = a * h / 2
a = 6 m
h = 15 m
A3 = 6 * 15 / 2 = 45 m²
__________

SA = A1 + 6A2 + 6A3
SA = 93.53 + 6 * 42 + 6 * 45 = 93.53 + 252 + 270 = 615.53 m²

Answer:

b.

Step-by-step explanation: