Question #bd535

1 Answer
Jan 12, 2018

#h=0.16# #cm#

Explanation:

.

A cube with side length of #6# cm has a volume of:

#V_(Cube)=6^3=216# #cm^3#

When you submerge an object into the water in another container it will cause the water to be displaced by an amount equal to the volume of the object.

As such, the water in the rectangular box will rise. The increase in the water level can be thought of as the height of a rectangular shape with a base equal to the base of the box of water.

This means that we have to find the height of a rectangular shape that will give us a volume of #216# #cm^3# if we use the dimensions of #30# #cm# by #45# #cm# for its base.

#V_(Displaced Water)=(30)(45)(h)=216# #cm^3#

#h=216/((30)(45))=0.16# #cm#