Question

Ребро куба равно 2 см. Во сколько раз увеличится объём куба,если ребро куба увеличить в 4 раза?

Answer 1

Calculation of the Increased Volume of a Cube

To calculate the increased volume of a cube when its side length is increased by a certain factor, we can use the formula:

New Volume = (Original Side Length * Factor)³

In this case, the original side length of the cube is 2 cm, and the factor by which the side length is increased is 4.

Plugging in the values into the formula, we get:

New Volume = (2 cm * 4)³

Simplifying the equation, we have:

New Volume = 8 cm³ * 8 cm³ * 8 cm³

Calculating the result, we find:

New Volume = 512 cm³

Therefore, if the side length of a cube is increased by a factor of 4, the volume of the cube will increase by a factor of 512.