The base of a pyramid covers an area of 13.0 acres (1 acre =43,560 ft2) and has a height of 481 ft . Ifthe volume of a pyramid is given by the expression V=(13)bh, where b is the area of the base and his the height, find the volume of this pyramid in cubicmeters.

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irwchh · Accepted Answer

13 arces⋅43560 ft21 acre=5.66×105 ft2  5.66×105 ft2⋅0.0929 m21 ft2=5.26×104 m2  481ft⋅0.30481ft=147m  V=(5.26×104m2(147m)}{3}=2.58×106m3

Jeffrey Jordon · Accepted Answer

We apply the conversion factor and the formula for the volume of a pyramid provided in the problem.43560ft2=1acre. Then,V-Bh=13[(13.0acres)(43560ft2acre)]×(481ft)=9.08×107ft3Or,V=(9.08×107ft3)(2.83×10−1m31ft3)=2.57×106m3

fudzisako · Accepted Answer

Result:20,016.8Solution:Given information:Base area, b=13.0 acresHeight, h=481 ftFirst, let&#039;s convert the base area from acres to square feet:b=13.0 acres ×43,560 ft2/acre =566,280 ft2Now, we can substitute the values into the volume formula of the pyramid:V=13bhSubstituting the values:V=13×566,280 ft2×481 ftNext, we need to convert the volume from cubic feet to cubic meters. We know that:1 ft =0.3048 mSo, 1 ft3=0.30483 m3=0.02832 m3Now, we can calculate the volume in cubic meters:V=13×566,280 ft2×481 ft ×0.02832 m3/ft3V=13×566,280×481×0.02832 m3Simplifying the expression, we get:V=20,016.843648 m3Therefore, the volume of the pyramid is 20,016.843648 cubic meters.

Andre BalkonE · Accepted Answer

To find the volume of the pyramid, we can use the formula:V=13bhGiven that the base area is 13.0 acres and the height is 481 ft, we first convert the base area to square feet:13.0&amp;nbsp;acres=13.0×43,560&amp;nbsp;ft2=566,280&amp;nbsp;ft2Now we can substitute the values into the volume formula:V=13×566,280&amp;nbsp;ft2×481&amp;nbsp;ftMultiplying these values gives us:V=13×272,408,680&amp;nbsp;ft3To convert this volume to cubic meters, we use the conversion factor 1 cubic meter = 35.3147 cubic feet:V=13×272,408,680&amp;nbsp;ft3×(1&amp;nbsp;m335.3147&amp;nbsp;ft3)Simplifying the expression gives us the volume in cubic meters:V=13×7,714,800.28&amp;nbsp;m3Therefore, the volume of the pyramid is approximately 2,571,600.09 cubic meters.

The base of a pyramid covers an area of 13.0 acres (1 acre =43,560 ft^2) and has a height of 481 ft . Ifthe volume of a pyramid is given by the expression V =(1/3)bh, where b is the area of the base and his the height, find the volume of this pyramid in cubicmeters.

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