Answer:
Base of the bottle = 15 cm
Explanation:
Let's start by using the formula for the volume of a pyramid:
Volume of a pyramid = (1/3) * Base Area * Height
We know that the volume of the bottle is 140 cm³ and the height of the pyramid is 7 cm. We need to find the width of the base of the pyramid.
Let's first find the area of the rectangular base:
Base Area = Length * Width
We know that the length of the base is 4 cm, but we don't know the width. Let's call the width "w".
Base Area = 4 * w
Base Area = 4w
Now we can substitute the values we know into the formula for the volume of a pyramid:
Volume of a pyramid = (1/3) * Base Area * Height
140 = (1/3) * (4w) * 7
Simplifying the equation:
140 = (4/3) * 7w
140 = 9.333w
w = 15
Therefore, the width of the base of the bottle is 15 cm.