A square pyramid has a height of 9 units and a volume of 147 units3. If a square prism has the same base area and volume as the square pyramid, what is its height?

1 unit
3 units
6 units
9 units

Respuesta :

Answer:

the correct answer is 3

Step-by-step explanation:

The height should be 3 units.

Calculation of the height:

Since A square pyramid has a height of 9 units and a volume of 147 units3.

Also, a square prism has the same base area and volume as the square pyramid

we know that

The volume of the square pyramid is

[tex]a^2h\div 3 = volume\\\\a^2\times 9\div 3 = 147\\\\a^2 \times 3 = 147\\\\a^2 = 49[/tex]

Now

[tex]a^2h = 147\\\\49\times h = 147[/tex]

h = 3 units

Therefore, we can conclude that  The height should be 3 units.

Learn more about volume here: https://brainly.com/question/5525937

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