The volume of the smaller cube is 8cm3. The larger cube is an enlargement of the smaller one (x) by linear scale factor of 2.5. Calculate the value of x.

The volume of a cube is given by the formula V = s^3, where s is the length of one side of the cube.

Step 1: Find the side length of the smaller cube Given that the volume of the smaller cube is 8 cm^3, we can find the side length by taking the cube root of the volume.

s = ∛V s = ∛8 s = 2 cm

Step 2: Find the side length of the larger cube The larger cube is an enlargement of the smaller one by a linear scale factor of 2.5. This means that each side of the larger cube is 2.5 times longer than the corresponding side of the smaller cube.

s' = s * scale factor s' = 2 cm * 2.5 s' = 5 cm

Step 3: Find the volume of the larger cube Now that we have the side length of the larger cube, we can find its volume by cubing the side length.

V' = (s')^3 V' = (5 cm)^3 V' = 125 cm^3

So, the value of x, which represents the volume of the larger cube, is 125 cm^3.