A cube has a volume of 8 cubic metres. If each side is doubled in length what…

To find the new volume, first determine the original side length. Since the volume of a cube is calculated as side³ (s³), and the original volume is 8 cubic metres, we solve for s: s = ∛8 = 2 metres. The problem states that each side is doubled in length, so the new side length becomes 2 × 2 = 4 metres. Next, calculate the new volume using this updated side length: New Volume = 4³ = 64 cubic metres. Therefore, the correct answer is Option C (64). Distractors like 35 or 87 are incorrect because they do not follow the cubic scaling law where doubling dimensions increases volume by a factor of 2³ = 8 (8 × 8 = 64). Option A (45) is also mathematically inconsistent with the geometric properties of a cube.