Question

HELP: A machine shop worker records the mass of an aluminum cube as 176 g. If one side of the cube measures 4 cm, what is the density of the aluminum?

Answer 1

Given: Mass of an aluminum cube= 176 g

           Length of the sides of the cube= 4 cm

To Find: Density of aluminum

Solution:

The volume of a cube= $a^{3}$, where a refers to the sides of the cube.

∴ The volume of the aluminum cube= $(4)^{3}$ $cm^{3}$

                                                            = 64 $cm^{3}$

We know, Density = $\frac{Mass}{Volume}$,

∴ Density of aluminum= $\frac{176}{64}$ g/cm³

                                     = 2.75 g/cm³

Answer: The density of aluminum is 2.75 g/cm³.

Answer 2

The density of the aluminum is 2.75 g/cm³ if mass of an aluminum cube is 176 g and one side of the cube measures 4 cm

Given:

• Mass of Aluminum cube = 176 g
• Side of the cube = 4 cm

To Find:

• Density of the Aluminum

Solution:

Volume of the cube = ( side length)³

Step 1:

Find Volume of the aluminum cube

Volume = 4³ = 64 cm³

Density is given as mass divided by volume

$\text{density}=\dfrac{\text{mass}}{\text{volume}}$

Step 2:

Calculate density by substituting mass = 176 g  and Volume = 64 cm³

$\text{density}=\dfrac{176}{64}\\\\\text{density}=\dfrac{44}{16}\\\\\text{density}=\dfrac{11}{4}\\\\\text{density}= 2.75$

The density of the aluminum is 2.75 g/cm³

Learn More:

The weight of body is found to reduce by 30%when immersed in ...

brainly.in/question/11126948

The relative density _____. A) has unit of kg/m³ B) has unit of g/m³ C ...

brainly.in/question/11755561