Question

The Pyramid of Khufu in Giza, Egypt was the world's tallest free-standing structure for more than 3,500 years. Its original height was about 144 meters. Its base is approximately a square with a side length of 231 meters.

Answer 1

The scale factor used was 1/3 and the dimension of the cross section is a square base with side length of 77 m and a height of 48 m.

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Dilation is the increase or decrease in the size of a figure by a factor k.

Given that the height of the big pyramid = 144 m

Height of the small pyramid = 144 - 96 = 48 m

Scale factor = 48 / 144 = 1 / 3

Side length of small pyramid = (1/3) * 231 = 77 m

The scale factor used was 1/3 and the dimension of the cross section is a square base with side length of 77 m and a height of 48 m.

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