Question

A concrete pad has dimensions 9 feet by 9 by 4 inches. how many cubic yards of concrets dot does it contains

Answer 1

To find the volume of the concrete pad in cubic yards, we first need to calculate its volume in cubic feet and then convert that volume to cubic yards.

1. **Convert dimensions to feet:**
- The dimensions of the pad are 9 feet by 9 feet by 4 inches.
- Since there are 12 inches in a foot, we convert 4 inches to feet:
\[
4 \text{ inches} = \frac{4}{12} \text{ feet} = \frac{1}{3} \text{ feet} \approx 0.3333 \text{ feet}
\]

2. **Calculate the volume in cubic feet:**
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
\[
\text{Volume} = 9 \text{ feet} \times 9 \text{ feet} \times \frac{1}{3} \text{ feet}
\]
\[
\text{Volume} = 9 \times 9 \times \frac{1}{3} = 81 \times \frac{1}{3} = 27 \text{ cubic feet}
\]

3. **Convert cubic feet to cubic yards:**
Since there are \(27\) cubic feet in one cubic yard (because \(1 \text{ yard} = 3 \text{ feet}\), and \(1 \text{ cubic yard} = 3 \times 3 \times 3 = 27 \text{ cubic feet}\)):
\[
\text{Cubic yards} = \frac{\text{Cubic feet}}{27}
\]
\[
\text{Cubic yards} = \frac{27}{27} = 1 \text{ cubic yard}
\]

The concrete pad contains **1 cubic yard** of concrete.