A larger cube has 216 cubic inch as a volume and in the cube there are 216 smaller cubes such that their volume is 1 cubic inch. What is the difference between the surface areas’ sum of the 216 smaller cubes and the surface area of the larger cube, in square inch?
Choose the correct choice from the following answers:
A) 54
B) 64
C) 81
D) 1080
E) 120
Volume of larger cube = 216 = 6^3   Side of larger cube = 6   Volume of smaller cube = 1 --&gt; Side of smaller cube = 1   Surface area of larger cube = 6 * 6^2 = 216   Surface area of 27 smaller cubes = 216 * 6 * 1= 
<gadget id="calculator">216 * 6 * 1</gadget>
<output>1_296</output>
1296   1080ifference= 1296 - 216= 
<gadget id="calculator">1296 - 216</gadget>
<output>1_080</output>
1080   Answer: 1080
<result>D</result>
A larger cube has 216 cubic inch as a volume and in the cube there are 216 smaller cubes such that their volume is 1 cubic inch. What is the difference between the surface areas’ sum of the 216 smaller cubes and the surface area of the larger cube, in square inch?