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.

Question

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.

Knowee AI · Accepted Answer

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.

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.

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