Volume of a Pyramid: 474 ft & 11.0 Acres

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Homework Help Overview

The problem involves calculating the volume of a pyramid with a height of 474 ft and a base area of 11.0 acres. The volume formula for a pyramid is provided, and the task is to find the volume in cubic meters, requiring unit conversions for area and height.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need to convert the area from acres to square feet and then to square meters, as well as converting the height from feet to meters. There is uncertainty about the correct approach to the conversions and the application of the volume formula.

Discussion Status

Participants are actively engaging with the problem, with some offering guidance on unit conversions and emphasizing the importance of making an effort to understand the solution process. There is a recognition of the need for clarity on the conversion steps and the application of the volume formula.

Contextual Notes

Participants note the importance of adhering to homework rules that discourage providing direct solutions, which influences the nature of the discussion and the guidance offered.

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1. A pyramid has a height of 474 ft and its base covers an area of 11.0 acres. 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).



Homework Equations





The Attempt at a Solution

 
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Welcome to PF.

One of the rules around here is that we help and don't do it for you. Many people know how to solve your problem but that doesn't help you if they do it for you.

Hence you must make an effort to come up with a solution.

So how would you approach this pyramid?
 
Hey LowlyPion thanks for the welcome. Appreciate the advice. Thinking about it, I guess I would convert the acres of the pyramid into ft^2 first. the height is given so i guess i would multiply that by what 11 acres is in ft^2 then multiply that answer by 1/3. although I'm a bit confused. Since 1 acre is 43560 ft^2, am I right by multiplying 11 by 43560 or do I need to square 43560 first then multiply by 11? then again there's converting ft into m i think
 
Last edited:
Personally, I'd convert everything to meters at the start, since that is the units for the answer.
Google said:
1 acres = 4 046.85642 square meters

You can convert the height straight away.

The rest is ...
 

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