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

Answer:

The polynomial which represent the volume of cuboid is  B³ - 4 B

Step-by-step explanation:

Given as :

Fora cuboid

The length of cuboid = l  meters

The breadth of cuboid = b meters

The height of cuboid = h meters

Let The volume of cuboid = v cubic meters

According to question

The length is 2 m more than its breadth

i,e L = 2 + B                    ........1

And

The height is 2 m less than its breadth ​

i.e H = B - 2                  ............2

Since volume of cuboid = v = length × breadth × height

i.e v = L × B × H

Or, v = (2 + B ) × B × (B - 2)

Or, v = (B² - 4)  × B

or, v = B³ - 4 B

Hence, The polynomial which represent the volume of cuboid is  B³ - 4 B Answer