To find the volume of a pyramid, you can use the formula:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Altitude} \]
First, calculate the area of the base, which is a rectangle:
\[ \text{Base Area} = \text{length} \times \text{width} = 8 , \text{cm} \times 15 , \text{cm} = 120 , \text{cm}^2 \]
Next, substitute the base area and the altitude into the volume formula:
\[ V = \frac{1}{3} \times 120 , \text{cm}^2 \times 22 , \text{cm} \]
Calculating this step-by-step:
-
Multiply the base area by the altitude: \[ 120 \times 22 = 2640 , \text{cm}^3 \]
-
Now divide by 3 to find the volume: \[ V = \frac{2640}{3} = 880 , \text{cm}^3 \]
So, the new pyramid-shaped bottle will hold 880 cm³.
The correct response is: 880 cm³