Question

a carton can hold 1000 unit cubes that measure 1 inch by 1 inch by 1 inch describe the dimensions of the card using the unit cubes

Answer 1

Since the carton can hold 1000 units of the cubes.

Each unit of cube = 1inch * 1inch *1inch = 1inch³

Total volume = 1000 * 1inch³ = 1000 inch³

To get the dimension:  The carton would take the shape of a cube.

Let each side be x.

x*x*x = 1000

x³ = 1000      Take the cube root of both sides.

∛x³  = ∛1000

x =  10

The dimension of the carton is 10 inches by 10 inches by 10 inches