(a) A pyramid has a height of 461 ft and its base covers an area of 12.0 acres (see figure below). The volume of a pyramid is given by the expression V ==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 ft²) 2070194.33 wwww 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 505 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volum pyramid increase? 11.72 X %

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(a) A pyramid has a height of 461 ft and its base covers an area of 12.0 acres (see figure below). The volume of a pyramid is given by the expression
=Bh₁
V =
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 ft²)
www
2070194.33
X
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 505 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the
pyramid increase?
11.72
X %
Transcribed Image Text:(a) A pyramid has a height of 461 ft and its base covers an area of 12.0 acres (see figure below). The volume of a pyramid is given by the expression =Bh₁ V = 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 ft²) www 2070194.33 X 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 505 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase? 11.72 X %
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