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 length?
(1 point)
ft.
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To find the length of the pyramid, we can use the Pythagorean Theorem.
The length of the pyramid is the hypotenuse of a right triangle formed by the base of the pyramid (8 feet), half of its width (6/2 = 3 feet), and the perpendicular height (12 feet).
Using the Pythagorean Theorem:
length^2 = (8/2)^2 + 3^2
length^2 = 16 + 9
length^2 = 25
length = √25
length = 5 feet
Therefore, the length of the pyramid is 5 feet.
wrong
Apologies for the mistake. Let's correct the calculation:
To find the length of the pyramid, we need to find the diagonal of the rectangular base. We can use the Pythagorean theorem to calculate the length:
Length^2 = (Width/2)^2 + Height^2
Length^2 = (6/2)^2 + 12^2
Length^2 = 3^2 + 144
Length^2 = 9 + 144
Length^2 = 153
Length = √153
Length ≈ 12.37 feet
Therefore, the length of the pyramid is approximately 12.37 feet.