Respuesta :

d: 16, but if you really want to know how to do this you must figure out that A=MX+B and then using that you can calculate the meaning of life and how ALIENS helped build the twin towers. enjoy :)

Answer:

The height of right triangular prism is 16 cm.

Step-by-step explanation:

We are given the following information in the question:

Volume of right triangular prism = 1152 cubic cm

Volume of right triangular prism =

[tex]=\text{Area of base}\times \text{Height}\\= \text{Area of triangle}\times \text{Height}\\[/tex]

It is given in the diagram the triangular base has a height of 12 cm and base of 12 cm.

Let x be the height of  right triangular prism

Putting the values, we get,

[tex]\text{Volume of right triangular prism}=\displaystyle\frac{1}{2}\times b\times h\times x\\\\1152 = \displaystyle\frac{1}{2}\times 12\times 12\times x\\\\x = \frac{1152\times 2}{12\times 12}\\\\x = 16[/tex]

Thus, the height of right triangular prism is 16 cm.

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