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 h units. The height of each pyramid is h units. The height of each pyramid is h units. The height of each pyramid is h units.
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Answer:
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 statement that is true, is that the height of each pyramid is h/2 or 1/2h units
Step-by-step explanation:
For the six square pyramids to form a cube of the same base, the base of each of the six square pyramids form the faces of the cube, as shown in the attached image.
All the apexes of the sqaure pyramids meet at the center. This therefore means that the height of the square pyramid will be equal to the height of two of the square pyramids.
Therefore if the height of the cube h units, then the height of the pyramids is h ÷ 2 = h/2 units
This illustration is shown in the images attached. The height of the cube is twic e the height of each square based pyramid.
Answer: a
Step-by-step explanation:
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