Question

lf the length, height and volume of a cuboid are 6x,x/2 and 3x³ respectively.Find it's breadth?​

Answer 1

Step-by-step explanation:

let beadth be a

volume=l x b x h

3x³=6x x x/2 x a

3x³= 3x² x a

x³÷x² =a

thus,a=x

therefore bredth =x

Answer 2

The breadth of this cuboid is $x$.

Given: Length, height, and volume of a cuboid.

To find: The breadth.

Step-by-step explanation:

• A cuboid is a convex polyhedron with six quadrilateral faces that has the same polyhedral graph as a cube. While mathematical literature refers to any such polyhedron as a cuboid, some sources refer to a rectangular cuboid, right cuboid, rectangular box, rectangular hexahedron, right rectangular prism, or rectangular parallelepiped as a more restrictive type of cuboid.

Solution:

Let the breadth be "a".

So, Volume$=length\times breadth\times height$

∴ $3x^{2}=6x\times\frac{x}{2}\times a$

∴ $3x^{2}=3x^{2}\times a$

∴ $a=x^{3}-x^{2}$

⇒ $a=x$

Hence, the breadth will be $x$