To find the volume of a pyramid, you can use the formula:
\[ V = \frac{1}{3} \times B \times h \]
where \( V \) is the volume, \( B \) is the area of the base, and \( h \) is the height (altitude) of the pyramid.
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First, calculate the area of the base \( B \):
- The base is a rectangle with dimensions 8 cm by 15 cm.
- So, \( B = 8 , \text{cm} \times 15 , \text{cm} = 120 , \text{cm}^2 \).
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Now, plug the values into the volume formula:
- The altitude \( h \) is 22 cm.
- Thus, the volume \( V \) is: \[ V = \frac{1}{3} \times 120 , \text{cm}^2 \times 22 , \text{cm} \]
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Calculate the volume: \[ V = \frac{1}{3} \times 120 \times 22 = \frac{2640}{3} = 880 , \text{cm}^3 \]
Therefore, the amount of juice that the new bottle will hold is \( 880 , \text{cm}^3 \).
The correct response is: 880 cm³