Question

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

Answer 1

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

$V=l\times b\times h$

$V=4\times 2\times 8$

$V_b=64 in^3$

The dimension of the bathtub,

L=60 in., B = 30 in., H=18 in.

The volume of the bathtub is

$V=L\times B\times H$

$V=60\times 30\times 18$

$V_B=32400 in^3$

Number of bricks is

$n=\frac{V_B}{V_b}$

$n=\frac{32400}{64}$

$n=506.25$

Approximately the required number of bricks is 507.

Answer 2

According to sources, the most probable answer to this query are:
1) The volume of the rectangular prism given with the dimensions is 64 inches (lxwxh)
2) The volume of the rectangular prism given the dimensions is 32400 inches

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