Chapter 12.2, Problem 34STP

To determine

To find: the additional information needed to find the cost of the soil

Answer to Problem 34STP

The the additional information needed is the height of the bricks

Explanation of Solution

Given:

Thedimension of the garden is $\text{20 ft}$ by $\text{35 ft}$ .

The cost of soil is $9 per cubic ft.

Calculation:

The objective is to identify the missing information from the given condition.

The figure will be a rectangular prism.

The volume V of the rectangular is given by the formula

  $V=Bh$

Where B is the area of a face and h is the base height of the prism.

The area Bof the rectangle is given by

  $\begin{array}{l}B=l\cdot w\text{ Where }l\text{ is the length and }w\text{ is the width of the rectangle}\text{.}\\ \text{=20}\cdot \text{35}\\ \text{=700}\end{array}$

Put $B=700$ in the volume formula to find the volume.

Thus, the volume V is

  $\begin{array}{l}V=Bh\\ =700h\end{array}$

To find the volume h is required. Since the cost of soil is $9 per cubic ft. so the total cost

s of the soil is

  $\begin{array}{l}s=9V\\ =9\cdot 700h\\ =6300h\end{array}$

To find the total cost of the soil it is required to the value of that is the height of the brick.

Thus, the correct choice is (D).

Conclusion:

Therefore, the correct choice is $\left(D\right)$ .