Chapter 1.11, Problem 13E

To determine

To find:

The equation given that the statement

Answer to Problem 13E

The equation is $V=klwh$

Explanation of Solution

Given:

  $V$ is jointly proportional to $l,w\text{and}h$

Concept used:

If the quantities $x$ , $y$ and $z$ are related by an equation

  $z=kxy$

Where $k$ is nonzero constant

That is $z$ varies jointly as $x$ or z isjointly proportional to $x\text{and}y$

The constant $k$ is called constant proportionality

Calculation:

If the quantities $V,l,w$ and $h$ are related by an equation

  $V\alpha lwh$

  $V=klwh$

For some constant $k\ne 0$

That is $V$ varies jointly as $h$ or $V$ is jointly proportional to $l,w\text{and}\text{h}$

The constant $k$ is called constant proportionality