Question

A rectangular container whose base is a square
of side 6 cm holds water up to 3 cm from the
top. When a solid cube is placed in the water
and is completely submerged, the water rises
to the top and 17 cm3 of water overflows. Find
the edge of the cube.​

Answer 1

Answer:

Let the length of each edge of the cube be x cm  Then, Volume of cube = volume of water inside the tank + volume of water that over flowed.

${x}^{3} = (5 \times 5 \times 1) + 2 = 25 + 2$

${x}^{3} = 27$

$x = 3 \: cm$

$hence \: volume \: of \: cube = {27}^{3}$

$and \: edge \: of \: cube = 3 \: cm$