Cubic cm

Geometry Level pending

A rectangular container , whose base is a square of side 5 cm , stands on a horizontal table , and holds water upto 1 cm from the top . When a cube is placed in the water it is completely submerged , the water rises to the top and 2 cubic cm of water overflows .Calculate the length of the cube's edge


The answer is 3.

A Former Brilliant Member by A Former Brilliant Member

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Kevin Dudley
Oct 23, 2014

The volume of the cube placed into the rectangular tank will be the remaining volume of the container not filled with water, plus that of the water that overflowed:

5 c m × 5 c m × 1 c m = 25 c m 3 = 5 cm \times 5 cm \times 1 cm = 25 cm^{3} = remaining volume

2 c m 3 = 2 cm^{3} = overflowed water

25 c m 3 + 2 c m 3 = 27 c m 3 = 25 cm^{3} + 2 cm^{3} = 27 cm^{3} = Volume of our cube

l e n g t h × l e n g t h × l e n g t h = l 3 ( u n i t s ) 3 length \times length \times length = l^{3} (units)^{3} Volume of a general cube

so... l 3 = ( 27 c m 3 ) l^{3} = (27 cm^{3})

therefore l = ( 27 c m 3 ) 1 3 = 3 c m l = (27 cm^{3})^\frac {1} {3} = 3 cm

1 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...