J juice brand wants to create a new bottle of 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 calculate the volume of a pyramid-shaped bottle, we need to use the formula:
Volume = (Base Area * Height) / 3
First, let's calculate the base area of the pyramid by multiplying the length of the base by its width:
Base Area = 8 cm * 15 cm = 120 cm²
Now, we can calculate the volume by substituting the values into the formula:
Volume = (120 cm² * 22 cm) / 3
Dividing the product of the base area and height by 3:
Volume = 2,640 cm³
Therefore, the new pyramid-shaped bottle will hold 2,640 cm³ (cubic centimeters) of juice.
To find the volume of the pyramid-shaped bottle, we can use the formula:
Volume = (1/3) * base area * height
Given that the base of the pyramid has dimensions 8 cm by 15 cm, the base area can be found by multiplying these two dimensions:
Base area = 8 cm * 15 cm = 120 cm^2
The altitude (height) of the pyramid is given as 22 cm.
Now, we can substitute these values into the volume formula:
Volume = (1/3) * 120 cm^2 * 22 cm
Volume = 8,800 cm^3
Therefore, the new pyramid-shaped bottle will hold 8,800 cm^3 of juice.