Chapter 1.1, Problem 56E

To determine

To find the height $h$ of the solid −

  

Answer to Problem 56E

The height of the pyramid is $1.167$$ft$.

Explanation of Solution

Given:

  

Base Area of the pyramid- $B=30$$f{t}^2$ .

Volume of the pyramid - $V=35$$f{t}^3$ .

Formula Used:

Volume of the pyramid $=$ Base Area $\times$ Height

Calculation:

Given:

Base Area of the pyramid - $B=30$$f{t}^2$ .

Volume of the pyramid - $V=35$$f{t}^3$ .

As per the given formula, we have:

Volume of the pyramid $=$ Base Area $\times$ Height

  $35=30\times h$

Solving the above equation, we have:

  $\begin{array}{l}35=30\times h\\ h=\frac{35}{30}\\ h=1.167\end{array}$

Thus, the heightof the pyramid is $1.167$$ft$.

Conclusion:

Hence, the height of the pyramid is $1.167$$ft$ .