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.
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