Volume of Pyramid: 28370.082 m3

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Homework Help Overview

The problem involves calculating the volume of a pyramid given the area of its base and its height. The base area is specified in acres, and the height is in feet, requiring unit conversions to find the volume in cubic meters.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the correct interpretation of the base area and height, with some questioning the conversion factors between units. There are attempts to clarify the formula for volume and the significance of significant figures in the final answer.

Discussion Status

Several participants have shared their calculations and results, with some expressing uncertainty about their methods and conversions. There is a recognition of the need to check answers against each other, and some guidance on focusing on calculations in cubic feet before converting to cubic meters has been provided.

Contextual Notes

Participants note the importance of significant figures and the potential for errors in unit conversions. There is also mention of exhaustion affecting the clarity of the problem-solving process.

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Homework Statement



The base of a pyramid covers an area of 20.4 acres (1 acre = 43, 560 ft^2) and has a
height of 69 ft.

Find the volume of this pyramid in cubic meters. Answer in units of m3.

Homework Equations



V of Pyramid= (1/3)bh

where 'b' is 43,560 ft^2


The Attempt at a Solution



My attempt at the solution got me 28370.082 cubic meters after converting.
 
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Don't you mean b= 43,561*20.4 ft2?

Also how many m= 1 ft?
 
Yes that's what i meant. I just redid my solution. Several figures off lol. But please, attempt the problem so i can check my answer

might i add that the question wants the answer in sigfigs

also about the conversions. let's just find the answer in cubic feet first. the conversion can be done afterwards
 
Last edited:
movsesinator1 said:
also about the conversions. let's just find the answer in cubic feet first. the conversion can be done afterwards


I was asking because I didn't know.

V=1/3*20.4*43560*69

and according to google 1ft2=0.0283168466 m3

so I get 578,749.7m3
 
thanks that's what i got. this problem was extremely simple i was just exhausted and tried skipping steps foolishly.

guess its time to close this thread
 

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