Answer: Let the side length of the smaller cube be x inches. Then the volume of the smaller cube is:
V = x^3 = 85 in^3
Taking the cube root of both sides, we get:
x = 4.37 in
The side length of the larger cube is 1 inch more than that of the smaller cube, so:
y = x + 1 = 5.37 in
The volume of the larger cube is:
V = y^3 = (5.37 in)^3 = 155.85 in^3
Therefore, the volume of the larger cube is approximately 155.85 in^3.
Explanation: