force area pressure-

A cube-shaped box has side lengths of 1.5 m. The box exerts a force of 63 newtons

on the ground.

02

Calculate the pressure, in newtons/m³, that the box exerts on the ground.

To calculate the pressure exerted by the cube-shaped box on the ground, we can use the formula for pressure:

\[
\text{Pressure} = \frac{\text{Force}}{\text{Area}}
\]

### Given:
- **Force (F)** = 63 newtons
- **Side length of the cube (L)** = 1.5 meters

First, calculate the area of the base of the cube (since the pressure is exerted on the ground through the base):

\[
\text{Area} = L \times L = 1.5 \, \text{m} \times 1.5 \, \text{m} = 2.25 \, \text{m}^2
\]

Now, calculate the pressure:

\[
\text{Pressure} = \frac{63 \, \text{newtons}}{2.25 \, \text{m}^2} = 28 \, \text{newtons/m}^2
\]

### Answer:
The pressure that the box exerts on the ground is **28 newtons per square meter (N/m²)**.

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Do you want more details or have any questions?

Here are 5 related questions:
1. How would the pressure change if the box had a different shape?
2. What would the pressure be if the force were doubled?
3. How is pressure affected if only half the base area of the box touches the ground?
4. What are other common units of pressure besides newtons per square meter?
5. How is pressure related to force in fluids?

**Tip:** Pressure is highly dependent on the area over which the force is applied. Larger areas lead to lower pressure for the same force.

A cube-shaped box has side lengths of 1.5 m. The box exerts a force of 63 newtons on the ground. Calculate the pressure, in newtons/m², that the box exerts on the ground.

Learn how to calculate the pressure exerted by a cube-shaped box with side lengths of 1.5 meters and a force of 63 newtons on the ground. This problem covers key concepts in geometry and physics, including the calculation of pressure and the area of the cube's base. Suitable for students in Grades 7-9.

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