Answer:
x = 9.27 cm
Volume = 289.2 cm³
Step-by-step explanation:
SA = Surface Area
SA = 229.2 cm²
P = Perimeter of Base
P = 3(6)
P = 18 cm
H = Height of Solid
H = x
A = Area of Base(Equilateral Triangle)
A = 6²√3 / 4
A = 36√3 / 4
A = 9√3
A = 9(1.732)
A = 31.176
A = 31.2 cm²
SA = Surface Area
SA = PH + 2A
229.2 = 18x + 2(31.2)
229.2 = 18x + 62.4
229.2 - 62.4 = 18x
166.8 = 18x
9.266 = x
9.27 = x
x = 9.27 cm
V = Volume
V = AH
V = 31.2(9.27)
V = 289.224
V = 289.2 cm³
