A cuboidal vessel has dimensions 32 cm × 16 cm × 12 cm. It is filled with some water. When 4 identical cubical objects are immersed in it, then the water level raises by one-third of its height. Find the length of the side of the immersed object.
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Answer:
8cm
Step-by-step explanation:
Volume of the Cuboid = 32 x 16 x 12 = 6144cm²
Let the volume of a Cube be x.
6144 + 4x = 6144 + 6144/3
6144 + 4x = 8192
4x = 8192 - 6144
4x = 2048
x = 512
Volume of one cube is 512cm³. We know that volume of Cube is Side³.
Therefore -
Side³ = 512
Side = ∛512
Side = 8cm
Therefore, the side is of 8cm
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