Question

When the sides of the cube are scaled by a factor of k = 5, the volume increases by a factor of k3 = 53 = 125. here, the new volume is 64 cubic meters × 125 = 8,000 cubic meters. enter the correct answer.

a) 8,000 cubic meters
b) 12,800 cubic meters
c) 1,280 cubic meters
d) 80,000 cubic meters

Answer 1

The volume of the original cube can be found by dividing the new volume by the scaling factor. The correct answer is a) 8,000 cubic meters.

Step-by-step explanation:

The volume of a cube can be found by taking the length of one side and raising it to the power of 3. In this case, when the sides of the cube are scaled by a factor of k = 5, the volume increases by a factor of k^3 = 5^3 = 125.

Given that the new volume is 64 cubic meters, we can find the original volume by dividing the new volume by the scaling factor. So, the original volume is 64 cubic meters / 125 = 0.512 cubic meters.

Therefore, the correct answer is a) 8,000 cubic meters.