Question

choose the best answer and explain the reason for it following. you are given two pieces of information: (1) the volume of a lake in cubic feet and (2) the average depth of the lake in foot. you are asked to find the surface area of the lake in square feet. what s choose the correct answer below. a. multiply the volume by the depth, because this will cancel the depth in the volume and give the surface area of the lake. b. divide the volume by the depth, because this will cancel the depth in the volume and give feet square in the numerator which are the units for surface area. c. divide the depth by the volume, because this will give feet squared in the denominator which are the units of surface area.

Explanation:

Step1: Recall volume formula

The volume $V$ of a three - dimensional shape (like the lake considered here) with uniform cross - section is given by $V = A\times h$, where $A$ is the surface area and $h$ is the depth.

Step2: Solve for surface area

We want to find $A$. Rearranging the formula $V = A\times h$ for $A$, we get $A=\frac{V}{h}$. When we divide the volume (in cubic feet) by the depth (in feet), the feet in the denominator cancels out one of the feet in the cubic - feet of the volume, leaving square feet which is the unit of surface area.

Answer:

B. Divide the volume by the depth, because this will cancel the depth in the volume and give feet square in the numerator which are the units for surface area