Question

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.

Answer 1

`(5)/(7) ft`

Explanation:

Really, really easy!

The formula of a rectangular prism is

Volume= (Area of the base) (height)

`V=Ah`

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

That is

`V=Ah\\\\(V)/(A)=(Ah)/(A)  \\\\(V)/(A)= h\\\\((10)/(21) )/((2)/(3) )=(5)/(7)  =h\\`

So the height is 5/7 ft