Chapter 1, Problem 47GP

To determine

Dimension of ark in meters and its volume.

Answer to Problem 47GP

Dimensions are

  $\begin{array}{l}l=137.16m\\ b=22.86m\\ h=13.716m\end{array}$

Volume of ark is $43006.21{\text{ m}}^{\text{3}}$

Explanation of Solution

Given:

Ark dimensions are $300\times 50\times 30\text{ cubit}$

Formula used:

One cubit is generally equals to 45.72 centimeters and hence 0.4572 meters

Calculations:

Ark dimensions are given in terms of cubit as 300 cubits length, 50 cubits width and 30 cubits height. In terms of meters it would be given as,

  $\begin{array}{l}l=300cubits=300\times 0.4572m=137.16m\\ b=50cubits=50\times 0.4572m=22.86m\\ h=30cubits=30\times 0.4572m=13.716m\end{array}$

Ark is considered as a rectangular box. By using the volume formula of rectangular box,

  $\begin{array}{c}V=l\times b\times h\\ =137.16\times 22.86\times 13.716\\ =43006.21m^3\end{array}$

Conclusion:

Therefore, dimensions are $l=137.16m,b=22.86m,h=13.716m$

Volume of ark is $43006.21m^3$