Question

Given that a cubit is equivalent to 17.7 in., find the volume of the ark in cubic feet.

Answer 1

Since an ark is 2.5 cubits in length and 1.5 cubits in width and height.

It is given that a cubit is equivalent to 17.7 in.

We have to determine the volume of the ark in cubic feet.

Since 1 feet = 12 inches.

Since, length = 2.5 cubits

= $2.5 \times 17.7$ inches

= 44.25 inches

= $\frac{44.25}{12}$

= 3.7 feet

Now, width = 1.5 cubits

= $1.5 \times 17.7$ inches

= 26.55 inches

= $\frac{26.55}{12}$

= 2.2 feet

Now, height = 1.5 cubits

= $1.5 \times 17.7$ inches

= 26.55 inches

= $\frac{26.55}{12}$

= 2.2 feet

SO, Volume of rectangular prism = $length \times width \times height$

So, Volume of ark= 3.7 $\times 2.2 \times 2.2$

= 17.9

= 18 cubic feet.

Therefore, the volume of an ark is 18 cubic feet.