How could i determine the volume of an object that had an irregular shape? (i can’t measure it with a ruler)

a boat has a mass of 19 000 000kg and a volume of 45 000m3. would this boat sink or float in water? prove your answer mathematically.

The volume of an irregular shape can be found by placing it in a can (of known volume) of water. The amount of water the shape displaces is equal to its volume.

Boat will float. It has a lower density that that of water.

Step-by-step explanation:

If an object has a lower density than the fluid it is in, it will float. If higher, it will sink.

Assuming the water is at room temperature:

Density of water,

Density,  

Mass of boat=19,000,000

Volume of boat=45,000

Therefore the boat will float on water.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.