Pia built a rectangular prism with cubes. The base of her prism has 12 cm cubes. If the prism was built with 108 centimeter cubes, what is the height of her prism?

Respuesta :

9 cm is the height of the rectangular prism.

Just divide the total amount of cubes with the base number.
108 / 12 = 9

Answer:

The height of the given rectangular prism is 9 cm.

Step-by-step explanation:

Since,

[tex]\text{The volume of a Rectangular prism}=\text{Base area}\times \text{Height}[/tex]  

Given,

The base area = 12 cm²,

Also, the volume of the prism = 108 cm³,

Let h be the height of the prism,

By substituting the values in the above formula,

[tex]108=12\times h[/tex]

[tex]\implies h = \frac{108}{12}=9[/tex]

Hence, the height of the given rectangular prism is 9 cm.

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