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A triangle with base on an extended line. Two angle measures are given. Top interior angle is twenty-eight degrees. Lower left exterior angle is seventy-one degrees. Lower right interior angle is labeled x degrees.
Answer:
Your answer is 17%
If x = 6 inches, y = 2 inches, and z = 3 feet, what is the volume of wood used to make the gate, to the nearest cubic inch?
A. 2,746 in3
B. 1,234 in3
C. 4,628 in3
D. 3,610 in3
The volume of wood used for a wooden gate is 1234 in³
B. 1234 in³
The volume of wood is solved by the formula
surface area * thickness
The surface is of two shapes:
The length of the rectangle is the diameter of the circle and the length is
= 6 * x = 6 * 6 = 36 inches
Area of semi circle
= 0.5 * π * D² / 4
= 0.5 * π * 36² / 4
= 508.94 square inch
Area of rectangle
= 36 * 3
= 108 square inch
Total surface area = 508.94 square inch + 108 square inch
Total surface area = 616.94 square inch
Volume of wood = Total surface area * y
Volume of wood = 616.94 * 2
Volume of wood = 1233.88
Volume of wood = 1234 in³
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