FrankyV7286 FrankyV7286
  • 14-10-2019
  • Mathematics
contestada

The volume of a rectangular prism is 10/21 t³. The area of the base is 2/3 ft². Determine the height of the rectangular prism.

Respuesta :

jlpbossluis
jlpbossluis jlpbossluis
  • 15-10-2019

Answer:

[tex]\frac{5}{7} ft[/tex]

Step-by-step explanation:

Really, really easy!

The formula of a rectangular prism is

Volume= (Area of the base) (height)

[tex]V=Ah[/tex]

We can find the height by dividing both sides of the equation by the Area of the base.

That is

[tex]V=Ah\\\\\frac{V}{A}=\frac{Ah}{A}  \\\\\frac{V}{A}= h\\\\\frac{\frac{10}{21} }{\frac{2}{3} }=\frac{5}{7}  =h\\[/tex]

So the height is 5/7 ft

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