Sum based on volume,surface area etc?

A cube of 11cm edge is immersed completely in a rectangular vessel containing water.If the dimensions of the base of the vessel are 15cm x 12cm ,find the rise in water level in cms correct to 2 decimal places ,assuming that no water overflows.

I need a solution to this sum please :)

?2013-11-30T05:42:51Z

Favorite Answer

Displaced volume of the water in the vessel is 11 cm x 11 cm x 11 cm and this must be equal to 15 cm x 12 cm x h, where is the raise in water level. Therefore

h = (11 cm x 11 cm x 11 cm) / (15 cm x 12 cm) = 7.39 cm

DWRead2013-11-30T14:14:46Z

volume of cube = 11³ cm³

area of base of vessel = 15×12 = 180 cm²

11³/180 ≅ 7.39 cm

Hosam2013-11-30T13:48:14Z

change in volume = volume of cube = 11^3 =1331 cm^3
Therefore change in water level = 1331/(15(12)) = 7.39 cm