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:
[tex]V=(a)^3[/tex]
or,
[tex]V=a\times a\times a[/tex]
where,
V = volume of cube
a = side of cube
Formula used for volume of cuboid is:
[tex]V=l\times b\times h[/tex]
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 = [tex](a)^3[/tex]
Given :
a = side of cube = 5 inch
Volume of cube = [tex]5\times 5\times 5[/tex] cubic inches
and,
Volume of cuboid = [tex]l\times b\times h[/tex]
Given :
l = length of cuboid = 10 inch
b = breadth of cuboid =5 inch
h = height of cuboid = 4 inch
Volume of cuboid = [tex]10\times 5\times 4[/tex] cubic inches
Total volume of figure = Volume of cuboid + Volume of cube
[tex](10\times 5\times 4)+(5\times 5\times 5)[/tex] cubic inches
Thus, the correct volume of the figure will be,
[tex](10\times 5\times 4)+(5\times 5\times 5)[/tex] cubic inches
