Answer:
(x - 1/2)(x - 1/2)(x - 3/4)
Step-by-step explanation:
The volume of the block can be calculated as
Volume = Length · Width · Height
The initial length, width, and height of the cube is x. Then, he removes 3/4 in from the top, so the new height is
Height = x - 3/4
And he removes 1/2 in from the width and length, so the new width and length are
Width = x - 1/2
Lenght = x - 1/2
Now, we can replace this expression to find the volume, so
Volume = (x - 1/2)·(x - 1/2)·(x - 3/4)
Therefore, the expression that represents the current volume of the block is
(x - 1/2)(x - 1/2)(x - 3/4)