(a) A pyramid has a height of 477 ft and its base covers an area of 14.0 acres (see figure below). The volume of a pyramid is given by the expression where B is the area of the base and h is the height. Find the volume of this pyramid in cubic meters. (1 acre = 43,560 ft?) The conversion factor between feet and meters is 1 m = 3.28 ft. m (b) What If? If the height of the pyramid were increased to 513 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase? X %

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.5: Other Types Of Equations
Problem 64E
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(a) A pyramid has a height of 477 ft and its base covers an area of 14.0 acres (see figure below). The volume of a pyramid is given by the expression
1
V =
3
Bh,
where B is the area of the base and h is the height. Find the volume of this pyramid in cubic meters. (1 acre =
43,560 ft?)
The conversion factor between feet and meters is 1 m = 3.28 ft. m³
(b) What If? If the height of the pyramid were increased to 513 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid
increase?
%
Transcribed Image Text:(a) A pyramid has a height of 477 ft and its base covers an area of 14.0 acres (see figure below). The volume of a pyramid is given by the expression 1 V = 3 Bh, where B is the area of the base and h is the height. Find the volume of this pyramid in cubic meters. (1 acre = 43,560 ft?) The conversion factor between feet and meters is 1 m = 3.28 ft. m³ (b) What If? If the height of the pyramid were increased to 513 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase? %
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