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?
a. 880 cm^3
b. 2,640 cm^3
c. 7,920 cm^3
d. 15 cm^3
To find the volume of the pyramid-shaped bottle, we can use the formula for the volume of a pyramid, which is V = (1/3) * A * h, where A is the area of the base and h is the altitude.
The area of the base is given by A = length * width = 8 cm * 15 cm = 120 cm^2.
Substituting the values into the formula, we have V = (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 b. 2,640 cm^3.