J Juice brand wants to create a new bottle for their products. Their marketing department wants to design a pyramid-shaped bottle with a base that is 8 cm by 15 cm, and has an altitude of 22 cm. How much juice will this new bottle hold? (1 point)

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 area of the base, which is a rectangle with dimensions 8 cm by 15 cm:

\[ \text{Base Area} = \text{length} \times \text{width} = 8 , \text{cm} \times 15 , \text{cm} = 120 , \text{cm}^2 \]

Next, we take the height (altitude) of the pyramid, which is given as 22 cm.

Now, we can plug these values into the volume formula:

\[ V = \frac{1}{3} \times 120 , \text{cm}^2 \times 22 , \text{cm} \] \[ V = \frac{1}{3} \times 2640 , \text{cm}^3 \] \[ V = 880 , \text{cm}^3 \]

Thus, the volume of the bottle is 880 cm³.

The correct answer is: 880 cm³