Geometry

The Great Pyramid of Cheops is a right square pyramid
with height of 148 m and a square base with a perimeter
of 940 m. The Transamerica Building in San Francisco
has the basic shape of a right square pyramid that has a
square base with a perimeter of 140 m and a height of
260 m. Which one has the greater volume and by how
many times as great?

1. 👍
2. 👎
3. 👁
1. Volume = (1/3)*(P/4)^2*H = (1/48)P^2*H
where P is the perimeter and H is the height.
V(Cheops)/V(Transamerica)
= (148/260)*(940/140)^2
= 25.7

1. 👍
2. 👎

Similar Questions

1. Math

the great pyramid of cheops is a square based pyramid with a height of 147 meters and a base length of 230 meters. find the angle to the nearest degree that one of the edges of the pyramid makes with the base

2. problem in 3 dimensions

The Great Pyramid of Cheops at Giza in Egypt has a square base of side length 230 m. The angle of elevation of one triangular face is 52°. Determine the measure of the angle 𝜃 between the height and one of the edges where two

3. Geometry

. The Great Pyramid of Cheops has a square base of 230 meters on each side, and a height of 147 meters. Find the exposed surface area in square meters

4. Maths

A square based pyramid, with a perpendicular height of 15cm I'd placed on a table. The weight of the pyramid is 70.56N. The pyramid exerts a pressure of 4900N/m^2 on the table. Work out the volume of the square based pyramid.

1. algebra

1. find the volume of a square pyramid with side length 4 ft and a height of 9ft? 36 48** 108 144 2.find the volume of a square pyramid with side length 6 cm and a height of 2 cm? 8 12 24** 72 3.find the volume of a cone with a

2. Math

Ira built a model of the great pyramid in Egypt for a school project. The great pyramid had a square base with sides of length 756feet the height of the great pyramid is 481 feet Ira made his model pyramid using a scale of 1 inch

3. algebra

A stainless steel patio heater is a square pyramid. The length of one side of the base is 21.6 inches. The slant height of the pyramid is 83.3 inches. What is the height of the pyramid? Round to one decimal place as needed. I have

VWXYZ is a rectangle-based pyramid where WX=66 cm and XY=32cm. The vertex is vertically above the center of the base. Given that the slant heights VA and VB are 56 cm and 63 cm respectively, find the total surface area of the

1. measurements

The great pyramid of Giza was built around 2560 BC. It was originally 481ft high with a square base measuring 751 ft on each side. It's slant height was 611 ft. Find the lateral surface area of the great pyramid, round your answer