Select the correct answerIf each edge of a cube is increased by 20%, find the percentage increase in its volume.

Sure, here is the step by step solution:

1. Let's assume the original edge of the cube is a. So, the original volume of the cube is a^3.

2. If each edge of the cube is increased by 20%, the new edge of the cube is 1.2a.

3. The new volume of the cube is (1.2a)^3 = 1.728a^3.

4. The increase in volume is 1.728a^3 - a^3 = 0.728a^3.

5. To find the percentage increase in volume, we divide the increase in volume by the original volume and then multiply by 100. So, the percentage increase in volume is (0.728a^3 / a^3) * 100 = 72.8%.

So, the volume of the cube increases by 72.8% when each edge is increased by 20%.