Chapter 1.1, Problem 54E

To determine

To find the height $h$ of the solid −

  

Answer to Problem 54E

The height of the cuboid is $9$$cm$ .

Explanation of Solution

Given:

  

Base Area of the cuboid - $B=147$$c{m}^2$ .

Volume of the cuboid - $V=1323$$c{m}^3$ .

Formula Used:

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

Calculation:

Given:

Base Area of the cuboid - $B=147$$c{m}^2$ .

Volume of the cuboid - $V=1323$$c{m}^3$ .

As per the given formula, we have:

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

  $1323=147\times h$

Solving the above equation, we have:

  $\begin{array}{l}1323=147\times h\\ h=\frac{1323}{147}\\ h=9\end{array}$

Thus, the heightof the cuboid is $9$$cm$ .

Conclusion:

Hence, the height of the cuboid is $9$$cm$ .