To find the length of the pyramid, we need to calculate the distance from the center of the base to the apex. This can be done using the Pythagorean theorem.
The distance from the apex to the center of the base can be broken down into two parts: the height (8.8 meters) and half of the width (1 meter).
Using the Pythagorean theorem, we have:
(length)^2 = (height)^2 + (half of the width)^2
(length)^2 = 8.8^2 + 1^2
(length)^2 = 77.44 + 1
(length)^2 = 78.44
length ≈ √78.44
length ≈ 8.86 meters
Therefore, the length of the pyramid is approximately 8.86 meters.
Use the image to answer the question.
An illustration shows a pyramid with a rectangular base of length 6 meters and width 2 meters. The perpendicular height from the apex to the center of the base is labeled 8.8 meters. The slant height from the apex to the center of the width of the rectangle is labeled 9 meters. Both heights are drawn as dotted lines. The sides that are not visible are shown in dashed lines.
What is the length of the pyramid?
1 answer