Volume of Prisms:

Volume: 150 cubic inches
Top Area: 10 square inches

What is the height? {5-sided prism}

is this a right pentagonal prism? Shape matters.

yes its A pentagonal prism

what is the "top"?

is that the area of the pentagonal base?
If so, then the height is just 150/10 = 15

To find the height of the prism, we need to use the formula for the volume of a prism, which is given by:

Volume = Base Area x Height

In this case, the top area (base) is given as 10 square inches, and the volume is given as 150 cubic inches.

Therefore, we can rearrange the formula to solve for the height:

Height = Volume / Base Area

Plugging in the values, we have:

Height = 150 cubic inches / 10 square inches
Height = 15 inches

So, the height of the prism is 15 inches.