Question

write the polynomial which represents the volume of cuboid whose length is 2mts more than its breadth and height is 2mts less than its breadth ​

Answer 1

Dimensions of a Cuboid :

Let the breadth (b) = x m ,

Length (l) = ( x + 2 ) m ,

Height (h) = ( x - 2 ) m ,

$\boxed { \pink { Volume (V) = l \times b \times h }}$

$= ( x + 2 ) \times x \times ( x - 2 ) \\= x ( x + 2)( x - 2 )\\= x ( x^{2} - 2^{2} )$

$\boxed { \orange { ( a + b)( a - b ) = a^{2} - b^{2} }}$

$= ( x^{3} - 4x ) \:m^{3}$

Therefore.,

$\red { Required \: polynomial } \green { = ( x^{3} - 4x ) \:m^{3}}$

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