what is the maximum number of fish Beth can purchase?.

[eddy2017]

These are the dimensions of a fishbowl.

The question:
1 cubic foot is approximately 7.48 gallons. Beth purchased a fish tank. If the fish she wishes to purchase needs 12 gallons of water per fish, what is the maximum number of fish Beth can purchase?.

My work
1 cubic foot= 7.48 gallons
Needs 12 gallons of water per fish.
How many fish you can buy If the fish tank is 5 then 2 long wide and 3 high.
I have to find the volume of the fishtank to see how much water it can hold.
V= l×w×h
V=5×2×3
V=30ft^3
1 ft^3=7.48 gallons
30
30ft^3 × 7.48 gallons=224.4 g per ft^3
If I need 12 gallons per fish, then,
224.4 galones ÷ 12 galones =18.7
It can buy 18 fish for the fishbowl .
Thanks in advance for your tutoring and correc tion.

 

[lev888]

30ft^3 × 7.48 gallons=224.4 g per ft^3

Looks correct except for units here.

 

[lookagain]

lookagain's edits of the quote box:

The question:
One cubic foot corresponds to approximately 7.48 gallons. Beth purchased a fish tank.
If the fish she wishes to purchase needs 12 gallons of water per fish, what is the
maximum number of fish Beth can purchase?

My work
1 cubic foot corresponds to 7.48 gallons.
It needs 12 gallons of water per fish.
How many fish can she buy if the fish tank is 5 ft. long, 2 ft. wide, and 3 ft. high?
I have to find the volume of the fish tank to see how much water it can hold.

V = l*w*h
V = (5 ft)*(2 ft)*(3 ft)
V = 30 ft^3
1 ft^3 corresponds to 7.48 gallons.

(30 ft^3)*(7.48 gallons per cubic ft) = 224.4 gallons
If I need 12 gallons per fish, then
224.4 gallons ÷ 12 gallons = 18.7
Beth can buy 18 fish for the fish tank.

The above rephrasings/insertions are recommended corrections for all missing
units, etc.

 

[eddy2017]

lookagain's edits of the quote box:


The above rephrasings/insertions are recommended corrections for all missing
units, etc.

Thank you so much. You have been correcting my mistakes with the units. I really appreciate that. I really have to pay closer attention to that.

 

[JeffM]

Eddy

Someone seems to have stressed to you the importance of units; that is correct, absolutely correct. But it appears no has told you about a heuristic that is very useful in problems that involve applying multiple ratios of units. That heuristic is called dimensional analysis. Here is a video.

Intro to dimensional analysis (video) | Khan Academy

Sal shows how we can treat units of measurement algebraically, and use these tools in order to convert between different units of the same quantity.

www.khanacademy.org

I want to warn you that there are many problems (in finance and economics for example) where this heuristic is a big pain in the rear end, but there are many more problems (in chemistry for example) where it will keep you straight over and over again.

 

[eddy2017]

Thank you, Jeff. I will watch it, take notes and give you my feedback, and to do the truth honor all tutors have stressed the importance of until and parentheses to me.
Thank you