(a) A pyramid has a height of 465 ft and its base covers an area of 12.0 acres (see figure below). The volume of a pyramid given by the expression 1 V=. = Bh₁ 3 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) 2294276.22 m³ wwww (b) What If? If the height of the pyramid were increased to 520 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase? 99.95 X %

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(a) A pyramid has a height of 465 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 =
1
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 ft²)
2294276.22
m³
(b) What If? If the height of the pyramid were increased to 520 ft and the height to base area ratio of the pyramid were
kept constant, by what percentage would the volume of the pyramid increase?
99.95
X %
Transcribed Image Text:(a) A pyramid has a height of 465 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 = 1 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 ft²) 2294276.22 m³ (b) What If? If the height of the pyramid were increased to 520 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase? 99.95 X %
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