Question

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

Answer 1

To find the volume of the ark in cubic feet, convert the length of the cubit from inches to feet and square it to find the area of the base. Then, multiply the area of the base by the height of the ark.

Step-by-step explanation:

To find the volume of the ark in cubic feet, we first need to convert the measurement of the cubit from inches to feet. Since 1 foot is equal to 12 inches, we can divide the length of the cubit (17.7 inches) by 12 to get the length in feet (1.475 feet).

Next, we square the length of the cubit to find the area of the base of the ark. So, 1.475 feet * 1.475 feet = 2.1776 square feet.

Finally, we multiply the area of the base by the height of the ark to find the volume. Assuming you have the height of the ark, you would multiply it by 2.1776 to find the volume in cubic feet.

Answer 2

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 * 17.7` inches

= 44.25 inches

=
`(44.25)/(12)`

= 3.7 feet

Now, width = 1.5 cubits

=
`1.5 * 17.7` inches

= 26.55 inches

=
`(26.55)/(12)`

= 2.2 feet

Now, height = 1.5 cubits

=
`1.5 * 17.7` inches

= 26.55 inches

=
`(26.55)/(12)`

= 2.2 feet

SO, Volume of rectangular prism =
`length * width * height`

So, Volume of ark= 3.7
`* 2.2 * 2.2`

= 17.9

= 18 cubic feet.

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