Question

Find the value of x in the figure below if the volume is 232,789.58 mm3.http://static.k12.com/eli/bb/817/-1/0/2_36860_44974/-1/1a00ea5b932a526fd3f3dc71ca188f09d627c9b3/media/2350e72ec423ac38aecc3443af98c928433f7a35/mediaasset_652489_1.jpg

Answer 1

I can walk you through it but I am not gonna do it for you.

Answer 2

that would be great. I thought i went through the process right but the answer i came up with wasn't one of the choices

Answer 3

The key here is to solve for the vplume first and then after getting the volume, you can solve backwards for x by using a different formula for the area of the triangle.

Are you getting what I am saying?

Answer 4

okay i get what your saying but how do i solve for the volume if i cant solve the area of the triangle (the base)

Answer 5

there is a formula for the area of an equilateral triangle.

its x^2 (sqrt(3))/4. You have the value of x which is any of these sides because all fo the sides are equal/

Answer 6

so after you get the volume for the shape. You add the areas of both of the rectangles and the triangles and you should be able to solve for x from there.

Answer 7

okay so the formula for the area of an equilateral triangle would look like \[24.5^{2}(3/4)\]

Answer 8

yes, times it by 2, get the area of one rectangle and times it by 3 that should give you the volume.

Then use the volume to solve for the other side that is missing.

Answer 9

okay so the area of the triangle, i got 450.19. For the area of the rectangle i got 1847.3. i multiplied the triangle area by 2 and got 900.38 and the rectangle area by 3 and got 5,541.9 which comes to the total of 6,442.28. Is that correct?

Answer 10

@Boblovesmath