How many cubic yards of soil are needed to fill a planter that is 10' wide, 40' long, and 1' deep?

How many cubic yards of soil are needed to fill a planter that is 10' wide, 40' long, and 1' deep?

• A. 10.5 yd^3
• B. 14.8 yd^3
• C. 16.5 yd^3
• D. 22.3 yd^3

Answer: (B)

To determine the volume of soil required to fill the planter, you can use the formula for the volume of a rectangular prism, which is length × width × depth. First, convert the dimensions from feet to yards, since the final answer needs to be in cubic yards. There are 3 feet in a yard, so: - The width of the planter is 10 feet, which equals \( \frac{10}{3} \) yards, or approximately 3.33 yards. - The length of the planter is 40 feet, which equals \( \frac{40}{3} \) yards, or approximately 13.33 yards. - The depth of the planter is 1 foot, which equals \( \frac{1}{3} \) yard, or approximately 0.33 yards. Now, you can calculate the volume: \( \text{Volume} = \text{Length} \times \text{Width} \times \text{Depth} \) Substituting the values in: \( \text{Volume} \approx 13.33 \, \text{yards} \times 3.33 \, \text{yards} \times 0.33 \, \text

To determine the volume of soil required to fill the planter, you can use the formula for the volume of a rectangular prism, which is length × width × depth.

First, convert the dimensions from feet to yards, since the final answer needs to be in cubic yards. There are 3 feet in a yard, so:

• The width of the planter is 10 feet, which equals ( \frac{10}{3} ) yards, or approximately 3.33 yards.

• The length of the planter is 40 feet, which equals ( \frac{40}{3} ) yards, or approximately 13.33 yards.

• The depth of the planter is 1 foot, which equals ( \frac{1}{3} ) yard, or approximately 0.33 yards.

Now, you can calculate the volume:

( \text{Volume} = \text{Length} \times \text{Width} \times \text{Depth} )

Substituting the values in:

( \text{Volume} \approx 13.33 , \text{yards} \times 3.33 , \text{yards} \times 0.33 , \text