Chapter 3, Problem 88A

Interpretation Introduction

Interpretation : The mass of a cube of aluminum is to be calculated.

Concept Introduction : Mass is a measure used to quantify an object in comparison to that standard mass of 1 kilogram.

  $\text{Mass}\text{=}\text{Density}\times \text{Volume}$

The formula of volume which has ‘a’ edge is given as:

  $\text{Volume}={\text{a}}^3$

Answer to Problem 88A

The mass of a cube of aluminum is $72.9\text{g}$ .

Explanation of Solution

Given information :

The edge is $3\text{cm}$ .

The density of aluminum is $2.7{\text{g/cm}}^3$ .

Mass is a measure used to quantify an object in comparison to that standard mass of 1 kilogram.

  $\text{Mass}\text{=}\text{Density}\times \text{Volume}$

The formula of volume which has ‘a’ edge is given as:

  $\text{Volume}={\text{a}}^3$

To calculate the volume, substitute the values in the volume formula.

  $\begin{array}{c}\text{Volume}={\text{a}}^3\\ ={\left(3\text{cm}\right)}^3\\ =27{\text{cm}}^3\end{array}$

To calculate the mass, substitute the values in the mass formula.

  $\begin{array}{c}\text{Mass}\text{=}\text{Density}\times \text{Volume}\\ \text{= }2.7\text{g/}\cancel{{\text{cm}}^3}\times 27\cancel{{\text{cm}}^3}\\ =72.9\text{g}\end{array}$

Conclusion

The mass of a cube of aluminium is $72.9\text{g}$ .