Chapter 12.4, Problem 37PPS

To determine

To find:

The height of the new container.

Answer to Problem 37PPS

The height of the new container is $11.25\text{ in}$ .

Explanation of Solution

Given information:

A soy milk company is planning a promotion in which the volume of soy milk in each container will be increased by $25\%$ .

  

Calculation:

The volume of the original container is:

  $\begin{array}{c}V=Bh\\ =\left(2\right)\left(4\right)\left(9\right)\\ =72\end{array}$

The volume of the new container is $125\%$ of the original container, with the same base dimensions.

Assume that the $h_1$ is the height of the new container.

  $\begin{array}{c}125\%V=B{h}_1\\ 1.25\left(72\right)=\left(2\right)\left(4\right)h_1\\ 90=8h_1\\ h_1=\frac{90}{8}\\ =11.25\text{ in}\end{array}$

Hence the height of the new container is $11.25\text{ in}$ .