https://file.aiquickdraw.com/mathbot/file/1729811222926ya7b6tw7.jpg

To calculate the volume of the rectangular tank with the given dimensions, we can use the formula for the volume of a rectangular prism:

\[
V = \text{length} \times \text{width} \times \text{height}
\]

From the image, the dimensions are:
- Length: 20 inches
- Width: 32 inches
- Height: 1 ¼ inches, which is equivalent to 1.25 inches.

First, we calculate the volume in cubic inches:

\[
V = 20 \times 32 \times 1.25 = 800 \, \text{in}^3
\]

Next, we convert cubic inches to cubic feet. There are 12 inches in a foot, so:

\[
1 \, \text{cubic foot} = 12 \times 12 \times 12 = 1728 \, \text{cubic inches}
\]

Thus, we divide the volume in cubic inches by 1728 to convert to cubic feet:

\[
V = \frac{800}{1728} \approx 0.463 \, \text{ft}^3
\]

The correct answer is not listed as an option, but it should be close to this calculated value. If rounding adjustments or other measurement interpretations are considered, we might expect a recheck on the options or input interpretation.

Would you like a more detailed breakdown or help with another part of the question?

Here are some related questions to expand on this:
1. How do you convert between different units of volume?
2. What is the formula for calculating the volume of other geometric shapes?
3. How does the precision of measurements affect the calculated volume?
4. Why is it important to convert units properly in engineering applications?
5. What is the significance of significant figures in volume calculations?

**Tip:** Always double-check unit conversions when solving geometry problems in mixed units.

What is the volume of a rectangular tank measuring 20" by 32" by 1 ¼" high?

Learn how to calculate the volume of a rectangular tank with dimensions of 20 inches by 32 inches by 1 ¼ inches high. The problem demonstrates the use of the volume formula for a rectangular prism and unit conversion from cubic inches to cubic feet. Suitable for middle school students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation