Chapter 12.7, Problem 2GP

To determine

The amount of glass on the pyramid is to be estimated:

Length of side: $35m$

Height: $20.5m$

Answer to Problem 2GP

The amount of glass on the pyramid of the square pyramid is $8370.83m^3$ .

Explanation of Solution

Given:

  $\begin{array}{l}a=35m\\ h=20.5m\end{array}$

Concept Used:

The volume of the square pyramid is given by the following expression:

  $V=A\left(\frac{h}{3}\right)$

Where,

The base area of the square pyramid: $A=a^2$

Calculation:

The base area of the square pyramid is calculated as:

  $\begin{array}{l}A=a^2\\ A={\left(35\right)}^2\\ A=1225m^2\end{array}$

The amount or the volume of glass on the pyramid of the square pyramid is given by the following expression:

  $\begin{array}{l}V=A\left(\frac{h}{3}\right)\\ V=1225\left(\frac{20.5}{3}\right)\\ V=8370.83m^3\end{array}$

Conclusion:

Hence, the amount of glass on the pyramid of the square pyramid is $V=8370.83m^3$ .