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Use the Fermi process to estimate the number of bricks needed to fill an empty bathtub. Show your work.

***

A typical brick is a rectangular prism with dimensions 4 in. x 2 in. x 8 in.

A typical bathtub is a rectangular prism with dimensions 60 in. x 30 in. x 18 in.

*** You can either use these dimensions or come up with your own. Like having the bricks dimensions as 7 in. x 5 in. x 2 in. and the bathtub being 48 in. x 24 in. x 24 in. Its up to you. :)

Fermi Estimate: An estimate of a very large number using the Fermi process; This process involves being able to estimate quanties and then round the estimates to the largest number that is a product of a counting number less than 10 and a power of 10.

Thank You For All Your Help!!!!

May 11, 2018
edited by KennedyPape  May 11, 2018

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Fermi process:  Typical brick volume vb ≈ 60 in3

Typical bath volume vt ≈ 30000 in3

Number of bricks n = vt/vb = 30000/60 = 500

May 12, 2018

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Hi Kennedy,

I really do not understand your question.

I do not understand the estimation method that you have described and ..

Why would you use any estimation process for this?

Plus is easy and the numbers are not very big.

A typical brick is a rectangular prism with dimensions 4 in. x 2 in. x 8 in.

A typical bathtub is a rectangular prism with dimensions 60 in. x 30 in. x 18 in.

60/4=15

30/2=15

18/8=2.25

The base layer is 15*15=225 bricks

There are 2.25 layers so   225*2.25=506.25 = 507 bricks.

alternatively

4*2*8=64

60*30*18=32400

32400/64 = 506.25 = 507 bricks

May 11, 2018
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Thank You So Much For Your Help!!

KennedyPape  May 11, 2018
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You are welcome but i did not really help you. I do not understand what your teacher wants. :/

Melody  May 12, 2018
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Actually you helpped me out a lot by helping me get to what my teacher was asking for. :)!!

KennedyPape  May 15, 2018
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Fermi process:  Typical brick volume vb ≈ 60 in3

Typical bath volume vt ≈ 30000 in3

Number of bricks n = vt/vb = 30000/60 = 500

Alan May 12, 2018