A cubic foot is equal 7.48 gallons. How many cubic feet wil

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Discussion Overview

The discussion revolves around a homework problem involving the conversion of gallons to cubic feet, specifically how to determine the volume of a tank given its capacity in gallons. Participants explore the relationship between these units and address errors in calculations and unit consistency.

Discussion Character

  • Homework-related, Technical explanation, Debate/contested

Main Points Raised

  • One participant states that a cubic foot is equal to 7.44 gallons and attempts to calculate the volume of an 8000-gallon tank, arriving at a result of 107527 feet, which is questioned by others.
  • Another participant points out that the answer should be in cubic feet, not feet, and suggests a rough calculation using an approximation of 8 cubic feet per gallon, prompting further discussion on the accuracy of the conversion factor.
  • There is a correction regarding the conversion factor, with one participant asserting that a gallon is approximately 1/8 cubic foot, which contradicts the earlier figures presented.
  • Another participant highlights inconsistencies in the conversion factors used in the initial posts, questioning which value should be applied for the calculations.
  • Participants express the need for careful attention to detail in unit conversions and calculations, noting several mistakes in the initial attempts.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct conversion factor to use, with conflicting values of 7.44 and 7.48 gallons per cubic foot being presented. The discussion remains unresolved regarding the accurate calculation of the tank's volume.

Contextual Notes

The discussion highlights limitations in the initial calculations, including the use of different conversion factors and potential errors in numerical results. There is also a lack of clarity on the correct unit representation for cubic feet.

jim1174
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Homework Statement


2. A cubic foot is equal 7.48 gallons. How many cubic feet will the tank describe in question #6 hold?

Homework Equations

The Attempt at a Solution



Tank has a volume of 8000 gallons.

1 feet3 = 7.44 gallons (given)

Therefore,

8000 gallon = 8000gallon x feet3/7.44gallon= 107527feet
 
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jim1174 said:

Homework Statement


2. A cubic foot is equal 7.48 gallons. How many cubic feet will the tank describe in question #6 hold?

Homework Equations

The Attempt at a Solution



Tank has a volume of 8000 gallons.

1 feet3 = 7.44 gallons (given)

Therefore,

8000 gallon = 8000gallon x feet3/7.44gallon= 107527feet
Your answer should be in units of cubic feet, not feet (usually written as cu. ft of ft3). When you write exponents, at the very least use ^ to indicate an exponent.

Your numerical answer is way off. Without getting bogged down too much with numbers, let's say for the purpose of a rough calculation that a gallon is equal to 8 cu. ft. Without using a calculator, how many cubic feet would this be? You should be able to do this in your head.
 
Mark44 said:
Your answer should be in units of cubic feet, not feet (usually written as cu. ft of ft3). When you write exponents, at the very least use ^ to indicate an exponent.

Your numerical answer is way off. Without getting bogged down too much with numbers, let's say for the purpose of a rough calculation that a gallon is equal to 8 cu. ft. Without using a calculator, how many cubic feet would this be? You should be able to do this in your head.
Actually, a gallon is ~1/8 cu. ft.

But, jim1174, do you really think that 8000/7.48 > 100000 ?

Chet
 
I must have written that without thinking very hard. Yes, a cubic foot is about 8 gallons, so 1 gal. ##\approx## 1/8 cu. ft.
 
ok i think i got it
gallon.jpg
 
jim1174 said:
ok i think i got it
gallon.jpg
It depends. In your first post you have 7.44 gal./cu. ft in one place and 7.48 gal./cu. ft. in another place. Which is it?

You need to be more careful. I've seen several mistakes like this in your work.
 

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