Respuesta :

To figure the volume of the object, you must figure the volume of each separate shape and add the results together.

First, let's start with the bottom rectangular prism.
a = 4 ; b = 7 ; c = 12
l x w x h = v

So, know that we know our variables' true values, we can work out the problem as easy as plug and play!

a x a x c = v of the bottom shape
4 x 4 x 12 = 192

Now, the next shape.

a x a x b = v of middle shape
4 x 4 x 7 = 112


Next, we need to find the volume of the cube on top.

a x a x a = v of cube
4 x 4 x 4 = 64

Now that we have every shapes' volume, we can add the results up and get the answer we require to proceed.

192 + 112 + 64 = 368

Awesome! We now know the correct answer is A ) 368 cubic units.

Hope I could help you out! If my math is incorrect, or I provided an answer you weren't looking for, please let me know! However, if my math was correct and explained well, please consider marking my answer as Brainliest :). 

Have a good one!
God bless!