To find the volume of a pyramid-shaped bottle, you can use the formula for the volume of a pyramid:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
First, we need to calculate the base area of the pyramid. The base is a rectangle with length \( l = 15 \) cm and width \( w = 8 \) cm.
\[ \text{Base Area} = l \times w = 15 , \text{cm} \times 8 , \text{cm} = 120 , \text{cm}^2 \]
Now, we can use the height \( h = 22 \) cm and apply it to the volume formula:
\[ V = \frac{1}{3} \times 120 , \text{cm}^2 \times 22 , \text{cm} \]
Calculating that gives:
\[ V = \frac{1}{3} \times 120 \times 22 = \frac{2640}{3} = 880 , \text{cm}^3 \]
Thus, the bottle will hold 880 cm³.
The correct response is 880 cm³ (or "880 cm cubed").