https://file.aiquickdraw.com/mathbot/file/1727480138435nzeui9f3.jpg

Let's solve the problem based on the information in the image.

### Given:
- **Mass (m):** 96.9 g
- **Volume (V):** 124 cm³

### Step 1: Calculate the density.
The formula for density (\( D \)) is:

\[
D = \frac{m}{V}
\]

Substituting the given values:

\[
D = \frac{96.9 \, \text{g}}{124 \, \text{cm}^3}
\]

Let's compute this.The calculated density of the cube is approximately \(0.78 \, \text{g/cm}^3\).

### Step 2: Determine the material.
From the table in the image, the density of wood is \(0.78 \, \text{g/cm}^3\), which matches the calculated density. Therefore, the material is likely **wood**.

### Step 3: Will the cube float or sink in water?
The density of water is \(1.00 \, \text{g/cm}^3\). Since the cube's density (\(0.78 \, \text{g/cm}^3\)) is less than that of water, the cube will **float**.

Would you like further clarification, or should I explain more about density and buoyancy?

Here are some related questions you might find interesting:
1. How is density related to an object's ability to float?
2. Why does wood generally float on water?
3. What materials typically sink in water?
4. How can density be measured in practice?
5. How does temperature affect the density of materials?

**Tip:** Remember, objects with a density lower than that of the fluid they're in tend to float!

The cube shown in the diagram has a mass of 96.9 g and a volume of 124 cm³. What material is the cube made from? Will it float or sink in water?

Solve a problem to find the material of a cube with a mass of 96.9 g and a volume of 124 cm³. Using the formula for density, compare it with standard material densities and determine whether the cube will float or sink in water. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation