Answer:
The required number of bricks is 507.
Step-by-step explanation:
Given :
A) A typical brick is a rectangular prism with dimensions 4 in. x 2 in. x 8 in.
B) A typical bathtub is a rectangular prism with dimensions 60 in. x 30 in. x 18 in.
To find : Use the Fermi process to estimate the number of bricks needed to fill an empty bathtub?
Solution :
The Fermi process means having a guess or give an approximation to the answer.
We have given,
The dimension of the brick,
l=4 in., b = 2 in., h=8 in.
The volume of the brick is
[tex]V=l\times b\times h[/tex]
[tex]V=4\times 2\times 8[/tex]
[tex]V_b=64 in^3[/tex]
The dimension of the bathtub,
L=60 in., B = 30 in., H=18 in.
The volume of the bathtub is
[tex]V=L\times B\times H[/tex]
[tex]V=60\times 30\times 18[/tex]
[tex]V_B=32400 in^3[/tex]
Number of bricks is
[tex]n=\frac{V_B}{V_b}[/tex]
[tex]n=\frac{32400}{64}[/tex]
[tex]n=506.25[/tex]
Approximately the required number of bricks is 507.
