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The picture at the right is of the Washington Monument in DC. The shaft of the monument is a square frustum. The bottom square measures 55ft on a side and the top square measures 34.5 feet. The top is a square pyramid. Find the total surface area and volume of the Washington Monument.

The picture at the right is of the Washington Monument in DC. The shaft of the monument is a square frustum. The bottom square measures 55ft on a side and the top square measures 34.5 feet. The top is a square pyramid. Find the total surface area and volume of the Washington Monument.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Find total surface area and volume of the pyramid.
10.25 ft 34.5 ft 500 ft are 55 ft -
Transcribed Image Text:10.25 ft 34.5 ft 500 ft are 55 ft -
The picture at the right is of the Washington Monument in DC. The shaft of the monument is a square frustum. The bottom square measures 55ft on a side and the top square measures 34.5 feet. The top is a square pyramid. Find the total surface area and volume of the Washington Monument.
Transcribed Image Text:The picture at the right is of the Washington Monument in DC. The shaft of the monument is a square frustum. The bottom square measures 55ft on a side and the top square measures 34.5 feet. The top is a square pyramid. Find the total surface area and volume of the Washington Monument.
Expert Solution
Step 1

Total surface area can be found out by assuming the monument to be a rectangle from which two triangles are cut from its side. 

area of rectangle=l*b

area of triangle=12*b*h

volume of square pyramid=a2*h3

where l is length and base of recttangle

          h is the height of monument

          a is the edge of square pyramid

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