Question

На скільки відсотків збільшиться об'єм куба, якщо його ребро збільшити на 20%

Answer 1

Первоначальный объем куба : X^3 ( где Х - ребро куба )
Ребро увеличили на 20 % стало Х + 0.2Х = 1.2Х
Объём стал равным
(1.2Х) ^3 = 1.44X^3
На сколько увеличится:
1.44X^3 - X^3 = 0.44х^3=44%

Answer 2

Calculating the Increase in Volume of a Cube

To calculate the increase in volume of a cube when its edge is increased by 20%, we can use the formula for the volume of a cube and apply the given percentage increase.

The formula for the volume of a cube is: V = s^3 Where: - V = volume - s = length of the side of the cube

Calculation

Given that the edge of the cube is increased by 20%, we can calculate the new volume using the following steps:

1. Calculate the new length of the side of the cube after a 20% increase. 2. Use the new length to calculate the new volume of the cube.

Step 1: Calculate the New Length of the Side of the Cube

If the original length of the side of the cube is represented by s, and it is increased by 20%, the new length of the side, s', can be calculated using the formula: s' = s + (20/100) * s

Step 2: Calculate the New Volume of the Cube

Using the new length of the side, s', we can calculate the new volume, V', using the formula: V' = (s')^3

Result

The increase in volume can be calculated by finding the difference between the new volume and the original volume: Increase in volume = V' - V

Let's calculate the increase in volume using the given percentage increase.