To find the volume of a rectangular prism, we multiply its length, width, and height. In this case, the length of the cat carrier is 15 inches, the width is 9 1/2 inches, and the height is 10 inches.
The equation to find the volume, V, is:
V = length × width × height
Substituting the given values into the equation:
V = 15 inches × 9 1/2 inches × 10 inches
To simplify the calculation, we can convert the mixed fraction to an improper fraction:
V = 15 inches × (19/2) inches × 10 inches
Now, multiply the numbers:
V = (15 × 19 × 10) / 2 cubic inches
Calculating:
V = 2850 / 2 cubic inches
V = 1425 cubic inches
Therefore, the volume of the cat carrier is 1425 cubic inches.