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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The length of the pyramid can be calculated by finding the slant height of the pyramid. This can be done using the Pythagorean theorem, where the slant height (h) is the hypotenuse, the perpendicular height is one leg of the right triangle, and half the base length is the other leg.
h^2 = 6^2 + 4^2
h^2 = 36 + 16
h^2 = 52
h = √52
h ≈ 7.21 feet
Therefore, the length of the pyramid is approximately 7.21 feet.