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)
Responses
2,640 cm^3
7,920 cm^3
880 cm^3
15 cm^3
To find the volume of the pyramid-shaped bottle, we can use the formula for the volume of a pyramid given its base area (B) and height (h):
Volume = (1/3) * B * h
The base area of the pyramid is given by the formula for the area of a rectangle:
Base area = length * width
In this case, the length is 15 cm and the width is 8 cm, so the base area is:
Base area = 15 cm * 8 cm = 120 cm^2
Plugging this value and the given height of 22 cm into the volume formula, we get:
Volume = (1/3) * 120 cm^2 * 22 cm = 2,640 cm^3
Therefore, the new bottle will hold 2,640 cm^3 of juice.
The correct answer is 2,640 cm^3.