Answer:
The larger cube is 8 times as great in volume than the smaller cube.
Explanation:
(OVER EXPLANATION BELOW)
Start by finding an expression that fits this scenario.
The larger cube's area can be simplified as (2x)^3
The Smaller cube's area can be simplified as (x)^3
2. Lets remove the brackets and put an exponent on each term:
2^3 * x^3
_______ --pretend this is a fraction
the x^3 on the bottom and top cancel out.
x^ 3 Leaving 2^3
This means the greater cube is 2^3 larger than the other cube. 2 to the exponent of 3 is 2x2x2, so 8.