678.58 that is the surface area to this problem
Answer: C) 78 in2
Step-by-step explanation:
The polygon is divided into two trapezoids with equal measurements.
Area of a trapezoid:
1
2
(b1 + b2)h
Since the area of the hexagon equals the area of two trapezoids with equal measurements, do not multiply by 1/2.
(b1 + b2)h
(10 + 16)3
26(3)
78 in2
Surface Area of can (SA) = (2 · π · r²) + (2 · π · r · h)
296.73 = [2 · π · (4.5)²] + [2 · π · (4.5) · h]
296.73 = 40.5π + 9π · h
296.73 - 40.5π = 9π · h
(296.73 - 40.5π)/9π = h
169.5/28.27 = h
6 = h
Answer: 6 inches
I) Q = 7*P
ii) Q = 35
iiI) 42 = 7*P
42 / 7 = P
so P = 6
