Chapter 12.1, Problem 26HP

To determine

To write the formula that will describe the number of edges for a pyramid that has n sided base.

Answer to Problem 26HP

The formula to calculate the number of edges $e$ with $n$ sided base is

Explanation of Solution

Given: Window box is:

  $42$

  $incheslong$

  $8incheswide$

  $6incheshigh$

Concept Used:

The concept used here is the Potting Soil Calculator.

The potting soil calculator is used to measure the amount of soil that you need for your container.

There are three types of the soil container.

Rectangular- Volume of rectangular cuboid

Volume= $depth*length*width$

Round -Volume of cylinder

Volume= $\pi *R^2*depth$

Flower Pot- Volume of truncate cone

Volume= $\left(1/3\right)*\pi *depth*\left(r^2+r*R+R^2\right)$

Calculation:

Given that window box which can be rectangular potting soil $42$ inches long, $6$ inches high and $8$ width.

Use the formula for Volume of rectangular cuboid

  $volume=depth*length*width$

  $=42*8*6$

  $volume$

  $=$

  $2880$

Conclusion:

The formula to calculate the number of edges $e$ with $n$ sided base is