A study shows that a proposed airport just north of the Everglades would produce 4400000 gallons of raw sewage per day. How many **cubic inches** of raw sewage would be produced **per second**?

7.48 gallons = 1 cubic foot


To find how many cubic inches of raw sewage would be produced per second, we can break down the problem step by step:

### Step 1: Convert gallons per day to cubic feet per day.
We know that 1 gallon = 1/7.48 cubic feet.

Given that 4,400,000 gallons of sewage are produced per day, we can convert this to cubic feet:

\[
\text{Cubic feet per day} = \frac{4,400,000 \, \text{gallons}}{7.48 \, \text{gallons per cubic foot}} 
\]

### Step 2: Convert cubic feet per day to cubic feet per second.
There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute, so:

\[
\text{Seconds per day} = 24 \times 60 \times 60 = 86,400 \, \text{seconds per day}
\]

Now, we convert cubic feet per day to cubic feet per second:

\[
\text{Cubic feet per second} = \frac{\text{Cubic feet per day}}{86,400}
\]

### Step 3: Convert cubic feet per second to cubic inches per second.
There are 12 inches in a foot, so 1 cubic foot is equal to \(12^3 = 1,728\) cubic inches.

\[
\text{Cubic inches per second} = \text{Cubic feet per second} \times 1,728
\]

Now, let's perform the calculations.The proposed airport would produce approximately **11,764.71 cubic inches of raw sewage per second**.

Would you like further details or have any questions?

Here are five related questions to explore:

1. How many cubic feet of raw sewage would be produced in a year?
2. What is the equivalent sewage production in liters per second?
3. If the sewage were stored in a tank, what would be the tank's dimensions for a day's production?
4. How much sewage would be produced in one hour in cubic inches?
5. How does this sewage production compare to the sewage produced by a large city?

**Tip:** When converting units, always ensure you follow a consistent and logical sequence to avoid errors in the final result.

A study shows that a proposed airport just north of the Everglades would produce 4400000 gallons of raw sewage per day. How many cubic inches of raw sewage would be produced per second?

Learn how to convert 4,400,000 gallons of sewage per day into cubic inches per second. This problem involves unit conversion, volume calculation, and rate changes. Detailed steps include converting gallons to cubic feet and then to cubic inches, covering advanced math concepts suitable for high school students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation