Question

The volume of a cubical box is 216 m 3 .the length of the longest rod that can be placed in the box is?????

Answer 1

Volume of cube=a^3
                  216= a^3
                      a=6
So the longest rod that can be placed inside the cube can be of the length 6m. 

Answer 2

The length of the longest rod that can be placed in the box is 6meter.

GIVEN

The volume of a cubical box is 216 m³

TO FIND

The length of the longest rod that can be placed in the box.

SOLUTION

We can simply solve the above problem as follows;

Side of the cubical box = Length of the longest rod that can be placed in the box.

Let the side of the cubical box = x meters

We know that,

Volume of the cube = Side × side × Side

Therefore,

216 = x³

x = ³√216 = 6 meter

Therefore,

The length of the longest rod that can be placed in the box is 6meter.

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