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?
To determine the volume of the pyramid-shaped bottle, we need to calculate the volume of a pyramid using the formula:
Volume = (1/3) * Base Area * Height.
The base area of the pyramid is the area of a rectangle, which is given by the formula:
Base Area = Length * Width.
Substituting the given values:
Base Area = 8 cm * 15 cm = 120 cm^2.
Now, substituting the calculated base area and height into the formula for volume:
Volume = (1/3) * 120 cm^2 * 22 cm.
Simplifying:
Volume = (1/3) * 120 cm^2 * 22 cm = 2,640 cm^3.
Therefore, the new bottle will hold 2,640 cm^3 of juice.