Question

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 length?

(1 point)
ft.
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Answer 1

To find the length of the pyramid, we need to use the Pythagorean theorem.

The length is the hypotenuse of a right triangle where the base length and height are the other two sides.

Using the Pythagorean theorem:
length^2 = base^2 + height^2
length^2 = 8^2 + 12^2
length^2 = 64 + 144
length^2 = 208
length = sqrt(208)
length ≈ 14.42 feet

So, the length of the pyramid is approximately 14.42 feet.