The volume of a pyramid that fits exactly inside a cube is 9 cubic feet. what is the volume of the cube?

3 cubic feet
6 cubic feet
18 cubic feet
27 cubic feet

Option D

The volume of cube is 27 cubic feet

Solution:

The volume of pyramid is given as:

Given that volume of a pyramid that fits exactly inside a cube is 9 cubic feet

We are to find the volume of a cube.

Since the pyramid fits exactly in the cube so its base will be a square with length and height equal to "x"

height = x

area of base square =

[ since area of square = ]

The volume of cube is given as:

Where "x" is the length of side

Thus volume of cube is 27 cubic feet

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part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

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