Cube and Pyramid Pressure

What is the side length of the cube?

Side length of the cube is 16 m

In order to find the side length of the cube, we need to understand the concept of pressure. Pressure is defined as the force exerted per unit area. In this scenario, both the cube and square-based pyramid exert the same pressure on the ground. This means that the weight of each object is distributed over a certain area resulting in equal pressure.

The formula to calculate pressure is:

Pressure = Force / Area

Since the pressure is the same for both objects, we can set up the following equation:

(Weight of the cube) / (Side length of the cube)^2 = (Weight of the pyramid) / (Side length of the pyramid)^2

By substituting the given values into the equation, simplifying, and solving for the side length of the cube, we get the result that the side length of the cube is 16 meters.

A cube is a three-dimensional object with six square faces and is often used in various real-world applications as well as in mathematics and engineering. It is important to understand the properties and calculations related to cubes for practical purposes.