To solve the expression \( 13 \, \text{yards} \times 2 \, \text{feet} \times 6 \, \text{inches} \times 15 \), we need to first convert all units to a consistent unit of measurement. Let's work through it step-by-step:

### Step 1: Convert yards and inches to feet
- \( 1 \, \text{yard} = 3 \, \text{feet} \)
- \( 1 \, \text{foot} = 12 \, \text{inches} \)

So:
- \( 13 \, \text{yards} = 13 \times 3 = 39 \, \text{feet} \)
- \( 6 \, \text{inches} = \frac{6}{12} = 0.5 \, \text{feet} \)

### Step 2: Multiply everything in feet
Now that everything is in feet, the expression becomes:
\[
39 \, \text{feet} \times 2 \, \text{feet} \times 0.5 \, \text{feet} \times 15
\]

### Step 3: Perform the multiplications
\[
39 \times 2 = 78 \, \text{square feet}
\]
\[
78 \times 0.5 = 39 \, \text{cubic feet}
\]
\[
39 \times 15 = 585 \, \text{cubic feet}
\]

Thus, the result is **585 cubic feet**.

Would you like further details or have any questions about this solution?

### Related questions:
1. What is the volume in cubic inches instead of cubic feet?
2. How would the calculation change if the dimensions were in meters?
3. Can you convert 585 cubic feet to cubic yards?
4. How do unit conversions affect calculations involving areas and volumes?
5. What other common unit conversions are used in construction or engineering?

### Tip:
When working with mixed units, always convert everything to a consistent unit (e.g., all to feet or meters) before performing calculations.

Learn how to calculate the volume of 13 yards × 2 feet × 6 inches × 15, using unit conversions to ensure all measurements are in feet. This problem covers key concepts such as dimensional analysis, volume calculations, and unit conversions. Suitable for students in Grades 5-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation