Question

what is the volume of a cube with the side length of 1.5

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the volume of a cube, you need to raise the length of one side to the power of 3. In this case, the side length is 1.5.

Volume = (side length)^3
Volume = (1.5)^3
Volume = 3.375 cubic units

Therefore, the volume of a cube with a side length of 1.5 is 3.375 cubic units.

Answer 2

why raise it by the power of 3?

Answer 3

[AI-generated answer — Bot GPT 3.5]

Raising the side length to the power of 3 (cubing it) is necessary because a cube has three dimensions - length, width, and height - all of which are equal for a cube. When you multiply the side length by itself twice (raising to the power of 2), you find the area of one face of the cube. However, to find the volume, you need to consider all three dimensions.

By cubing the side length, you are essentially multiplying the side length by itself three times, which gives you the volume of the cube. This is because the volume of an object is a measure of how much space it occupies in three-dimensional space, which requires considering all three dimensions.