Surface Area of Rectangular Pyramids Practice
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Question
Use the image to answer the question.
An illustration shows a pyramid with a rectangular base of length 8 feet and width 6 feet. The perpendicular height, drawn as a dotted line from the apex to the center of the base, is labeled 12 feet. The sides that are not visible are drawn in dashed lines.
What is the pyramid’s height?
(1 point)
ft.
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To find the height of the pyramid, we can use the Pythagorean theorem. The height, the perpendicular line from the apex to the center of the base, is the hypotenuse of a right triangle with one leg being half of the base (4 feet) and the other leg being the height of the triangle within the pyramid (which we are trying to find).
Using the Pythagorean theorem:
(height)^2 = (4)^2 + (12)^2
(height)^2 = 16 + 144
(height)^2 = 160
height = √160
height ≈ 12.65 feet
So, the height of the pyramid is approximately 12.65 feet.