Question

Geometry gt please help

4. The Transamerica Pyramid in San Francisco, is the third tallest pyramid in the world. The base is 702,000 square feet, and the pyramid is 853 feet tall Find the lateral area of the pyramid (assuming the base is a square and all sides are uniform triangles).​

Answer 1

9514 1404 393

Answer:

1,592,460 ft²

Explanation:

The side of the square base is ...

√(702,000 ft²) ≈ 837.85 ft

Then the slant height of each face is ...

√(853² +(837.85/2)²) = √903,109 ≈ 950.32 . . . . feet

The lateral area is the product of half the perimeter and the slant height:

A = (2)(837.85 ft)(950.32 ft) = 1,592,460 ft² . . . lateral area

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Comment on significant figures

The dimensions are given to 3 significant figures, so it makes sense to round the answer to 1,590,000 square feet.