Six pyramids are shown inside of a cube. The height of the cube is h units.
Six identical square pyramids can fill the same volume as a cube with the same base. If the height of the cube is h units, what is true about the height of each pyramid?

The height of each pyramid is One-halfh units.
The height of each pyramid is One-thirdh units.
The height of each pyramid is One-sixthh units.
The height of each pyramid is h units.

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Answer:

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Step-by-step explanation:

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The height of each pyramid is One-half h units, so that the 6 pyramids can be placed in the cube

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables

The volume of the cube = h unit * h unit * h unit = h³ unit³

Volume of each pyramid = (1/6) * = (1/3) * base² * height

(1/6) * = (1/3) * base² * height

(1/3) * h² * (1/2)h = (1/3) * base² * height

The height of each pyramid is One-half h units, so that the 6 pyramids can be placed in the cube.

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