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

Answer 1

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 \(x\)?

Answer 2

no

Answer 3

What kind of triangle is the end?

Answer 4

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

Answer 5

A = 1/2 b*h

Answer 6

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

Answer 7

The base is given as 24.5 mm, and the height is \(x\), right?

Answer 8

yes

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

I got x = 252.03 is that correct?

Answer 13

Yes, that is correct.