Answer : The correct option is, [(10 × 4 × 5) + (5 × 5 × 5)] cubic inches.
Step-by-step explanation :
As we know that,
Formula used for volume of cube is:

or,

where,
V = volume of cube
a = side of cube
Formula used for volume of cuboid is:

where,
V = volume of cuboid
l = length of cuboid
b = breadth of cuboid
h = height of cuboid
The given figure is formed by the combination of two figure that is cube and cuboid.
Volume of cube =

Given :
a = side of cube = 5 inch
Volume of cube =
cubic inches
and,
Volume of cuboid =

Given :
l = length of cuboid = 10 inch
b = breadth of cuboid =5 inch
h = height of cuboid = 4 inch
Volume of cuboid =
cubic inches
Total volume of figure = Volume of cuboid + Volume of cube
cubic inches
Thus, the correct volume of the figure will be,
cubic inches