Cavalieri's Principle states that if two space figures have the same height and the same cross-sectional area at every level, then they have the sameConsider the following figures shown below. If the height of both the figures are equal and the area of their cross-sections are equal, then the volume of the figure 2 iscubic c16 cm2 cm3:cmFigure 1Figure 2

Given: Height of figure 2 is same as the height of figure 1 Cross sectional area of figure 2 is…

Answered: Cavalieri's Principle states that if…

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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n the mid-20th century, engineers constructed a series of canals to move irrigation water from water sources to farming communities throughout the western United States. The volume of water a canal an move is partially dependent on its cross-sectional area. Suppose a canal is trapezoidal, 35.0 ft across the top and 15.0 ft across the bottom, with a planned depth of water of 10.0 ft as shown in the gure. Find the cross-sectional area of the canal when it is full (in ft). (Use the rules for working with measurements to give your answer to the appropriate accuracy and/or precision.) 35.0 ft 10.0 ft 15.0 ft
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