Find the value of x in the figure below if the volume is 232,789.58 mm3.
x = 252.03
x = 17.75
x = 504.06
x = 35.5

Question

Find the value of x in the figure below if the volume is 232,789.58 mm3.
x = 252.03
x = 17.75
x = 504.06
x = 35.5

anonymous · Answer

attachment

whpalmer4 · Answer

The volume of the prism is the area of the end times the length, right? Can you write a formula for the area of the end in terms of $x$?

anonymous · Answer

no

whpalmer4 · Answer

What kind of triangle is the end?

whpalmer4 · Answer

Do you know the formula for the area of a triangle?

anonymous · Answer

A = 1/2 b*h

whpalmer4 · Answer

Right.  What is the base of the triangle on the end?  And what is its height?

whpalmer4 · Answer

The base is given as 24.5 mm, and the height is $x$, right?

anonymous · Answer

yes

whpalmer4 · Answer

Okay, so what is the formula for the area of that triangle?

goldphenoix · Answer

My bad. 1/2 (Area Of The base x heighT)

goldphenoix · Answer

$$\large \large \frac{ 1 }{ 2 } (AreaOfTheBase \times 75.4 =  232,789.58$$

anonymous · Answer

I got x = 252.03 is that correct?

whpalmer4 · Answer

Yes, that is correct.