To find out how much water the birdbath can hold, we need to determine its volume based on its dimensions. The birdbath has a rectangular shape, so we will use the formula for the volume of a rectangular prism:
[tex]\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \][/tex]
Given the dimensions:
- Length: 24 inches
- Width: 8 inches
- Height: [tex]\(1 \frac{1}{2}\)[/tex] inches
First, we need to convert the mixed number height [tex]\(1 \frac{1}{2}\)[/tex] into a decimal.
[tex]\[ 1 \frac{1}{2} = 1 + \frac{1}{2} = 1.5 \text{ inches} \][/tex]
Now, we can plug the numbers into the volume formula:
[tex]\[ \text{Volume} = 24 \times 8 \times 1.5 \][/tex]
So,
[tex]\[
\text{Volume} = 24 \times 8 = 192 \\
\text{Volume} = 192 \times 1.5 = 288 \text{ cubic inches}
\][/tex]
Therefore, the maximum amount of water that the birdbath can hold is 288 cubic inches.
