Find the diagonal of the rectangular solid with the given measures. l = 18, w = 10, h = 2

For a rectangular prism whose side lengths are the internal diagonal can be calculated as:

So here, we know that:

So:

Answer : The value of diagonal of the rectangular solid is, 20.69 unit.

Step-by-step explanation :

First we have to calculate the side AC.

Using Pythagoras theorem in ΔABC :

Given:

Side AB = l = 18

Side BC = w =  10

Now put all the values in the above expression, we get the value of side AC.

Now we have to calculate the side AD (diagonal).

Using Pythagoras theorem in ΔACD :

Given:

Side AC =

Side CD = h =  2

Now put all the values in the above expression, we get the value of side AD.

Thus, the value of diagonal of the rectangular solid is, 20.69 unit.

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you