Question

A car has a gas tank that holds 12.5 U.S. gal. Using the conversion factors from the inside front cover, (a) determine the size of the gas tank in cubic inches. (b) A cubit is an ancient measurement of length that was defined as the distance from the elbow to the tip of the finger, about 18 in. long. What is the size of the gas tank in cubic cubits?

Answer 1

Answer:

a) 2891.012 $in^{3}$

b) 0.496 $cubits^{3}$

Step-by-step explanation:

We know 1 US gallon = 3.79 L

Also

1L =61.024 $in^{3}$

and given 1 cubit - 18 in

a) gas tank = 12.5 Us gal. = 12.5×3.79 = 47.375L=47.375×61.024= 2891.012 $in^{3}$

b) as 1 cubit =18 inches

or

18 inches = 1 cubit

==> 1 inch = 1/18 cubit =0. 055555556 cubit

Taking cube on both sides;

==>$1 inch^{3}= 0.055555556^{3} cubits ^{3}$

$1 inch^{3}= 0.055555556$ ×0.055555556×0.055555556=0.000171468 $cubits^{3}$

so size of gas tank = 2891.012×0.000171468=0.495715375=0.496 $cubits^{3}$