Sure! Let's determine the volume of the concrete block using the provided dimensions.
To find the volume of a rectangular prism (in this case, a concrete block), we use the formula:
[tex]\[ \text{Volume} = \text{depth} \times \text{width} \times \text{length} \][/tex]
Given the dimensions:
- Depth = 13 feet
- Width = 11 feet
- Length = 16 feet
We can substitute these values into the formula to get the volume:
[tex]\[ \text{Volume} = 13 \, \text{ft} \times 11 \, \text{ft} \times 16 \, \text{ft} \][/tex]
Let's do the multiplication step by step:
1. First, multiply the depth by the width:
[tex]\[ 13 \, \text{ft} \times 11 \, \text{ft} = 143 \, \text{ft}^2 \][/tex]
2. Next, multiply the result by the length:
[tex]\[ 143 \, \text{ft}^2 \times 16 \, \text{ft} = 2288 \, \text{ft}^3 \][/tex]
So, the volume of the concrete block is:
[tex]\[ 2288 \, \text{ft}^3 \][/tex]
Therefore, the correct answer from the given options is:
[tex]\[ 2288 \, \text{ft}^3 \][/tex]