If a building has a perimeter of 100 feet and a foundation width of 16 inches, how many cubic yards are required for the foundation?

• A. 3 cubic yards
• B. 5 cubic yards
• C. 7 cubic yards
• D. 10 cubic yards

Answer: (B)

To determine how many cubic yards of concrete are needed for the foundation, we first need to calculate the volume of the foundation.

1. Convert the Foundation Width to Feet:

The foundation width given is 16 inches. To convert inches to feet, divide by 12, since there are 12 inches in a foot:

[

16 \text{ inches} \div 12 \text{ inches/foot} = \frac{16}{12} = 1.3333 \text{ feet (or } 4/3 \text{ feet)}

]

2. Calculate the Volume:

The volume of the foundation can be calculated by multiplying the perimeter by the foundation width. The formula for volume is:

[

\text{Volume} = \text{Perimeter} \times \text{Width} \times \text{Depth}

]

For simplicity, if we assume a standard depth for the foundation (which is often around 1 foot for preliminary calculations), the volume becomes:

[

\text{Volume} = 100 \text{ feet} \times 1.3333 \text{ feet} \times