Math Problem Statement
solve this
Solution
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 () is:
Substituting the given values:
Let's compute this.The calculated density of the cube is approximately .
Step 2: Determine the material.
From the table in the image, the density of wood is , 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 . Since the cube's density () 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:
- How is density related to an object's ability to float?
- Why does wood generally float on water?
- What materials typically sink in water?
- How can density be measured in practice?
- 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!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Density
Mass-Volume Relationship
Buoyancy
Formulas
Density (D) = Mass (m) / Volume (V)
Theorems
Archimedes' Principle of Buoyancy
Suitable Grade Level
Grades 6-8
Related Recommendation
Mass of an Ice Cube with Dimensions 5.80cm and Density 0.917 g/mL
How to Calculate the Density of an Object Using Mass and Water Displacement
Find the Density of an Object Using Volume Displacement
How to Calculate the Density of an Object with Mass and Volume
Calculate Volume of a Rectangular Prism with a Cavity Given Density and Mass