Question

The surface area of a cube is 294 cm2. Which statements are true about the same cube measured in square millimeters? Choose all answers that are correct. A. The number representing the surface area would decrease. B. The number representing the surface area would increase. C. The actual surface area would decrease. D. The actual surface area would increase. E. The actual surface area would stay the same.

Answer 1

To check whether the statements are correct, we need to convert cm to mm.

surface area of a cube = 6 a²
294 cm² = 6 a²
294 cm² / 6 = a²
49 cm² = a²
√49 cm² = √a²
7cm = a

1 cm = 10 mm
7 cm = 70 mm

Surface area of a cube = 6a²
= 6 * (70mm)² = 6 * 4,900mm² = 29,400mm²

B. The number representing the surface area would increase.
E. The actual surface area would stay the same.