A cuboidal reservoir 30m×24m×4m is to be separated into 4equalchambers by constructing cross walls of 40m thick upto its height. Find volume?
- PhilomelLv 73 months ago
use 30 mm sheet to divide the 30m dimension into quarters.
Each chamber will be 7.5*4*24 total capacity of 720 cu m.
Total capacity ~2880cu m.
- River EuphratesLv 73 months ago
Are you sure the cross walls aren't 40cm thick?
If they are 40m thick, then they would be wider than the long dimension.
I sketched it out in a CAD program - converting 30m x 24m into centimeters (3000cm x 2400cm), then drew in cross walls 40cm thick, measured the dimension of one of the four squares and got 1480cm x 1180cm = 1,746,400cm / 1,000 = 1746.4m x 4m = 6,985.6 cubic meters (the volume of each cuboidal reservoir) or 6,985.6 cubic meters x 4 = 27,942.4 cubic meters (the volume of the entire reservoir - minus the 40cm wall sections).
- billrussell42Lv 73 months ago
huh? cross walls 40 m thick, when the largest dimension is less than that?
edit, so they are 40 cm.
but there are many ways of dividing the chamber into 4 equal ones. I can think of at least 6 different ways, each of which will give you a different volume. There may be others.
one is by 3 walls along the 30 m axis, dividing it into quarters
one is by 3 walls along the 24 m axis dividing it into quarters
one is by 3 walls along the 4 m axis dividing it into quarters
one is by 2 walls, one dividing the 30 m axis in half, one dividing the 24 m axis in half
one is by 2 walls, one dividing the 30 m axis in half, one dividing the 4 m axis in half
one is by 2 walls, one dividing the 24 m axis in half, one dividing the 4 m axis in half