# A Rectangular Container, Whose Base is a Square of Side 5 Cm, Stands on a Horizontal Table, and Holds Water up to 1 Cm from the Top. - Mathematics

A rectangular container, whose base is a square of side 5 cm, stands on a horizontal table, and holds water up to 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 volume of the cube and also the length of its edge.

#### Solution

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=(5xx5xx1)+2=25+2

x^3=27

x=3cm.

Hence, volume of cube = 27cm^3

And edge of cube = 3cm

Concept: Volume of a Cuboid
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.2 | Q 26 | Page 31

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