If the larger cube can can hold 27 smaller ones, its volume must be 27 times larger.
D
Practice makes perfect
The volume of a cube is the product of its width, length, and height. Since we know the larger cube can hold 27 smaller ones, its volume must be 27 times larger. All cubes are similar, so the volume scale factor is at least 27. The linear scale factor is the cube of the volume scale factor
Linear scale factor^3 = Volume scale factor
To get the linear scale factor we should calculate the cube root of the volume scale factor, that is, of 27.
sqrt(27) = 3
Therefore, the linear scale factor is 3. Since the small cube's edge is 1 unit long, the larger cube should have edges 3 units long — that is, 3 times longer. This corresponds to option D.
