Question

What are the possible expressions for the dimensions of the cuboids whose volumes are given below? Volume : 3x2 – 12x

Answer 1

Question :–

What are the possible expressions for the dimensions of the cuboids whose volumes are given below?

• Volume: ${3x}^{2} - 12x$

Solution :–

First, we factorise this equation :-

${3x}^{2} - 12x$

$3( {x}^{2} - 4x)$

$3x(x - 4)$

After factorisation the volume = 3x(x - 4)

We know that,

$\tt \red {volume \: of \: cuboid = l \times b \times h}$

Possible dimensions can be,

• Length = 3
• Breadth = x
• Height = x - 4

Answer 2

Answer:

Question :–

What are the possible expressions for the dimensions of the cuboids whose volumes are given below?

Volume: {3x}^{2} - 12x3x2−12x

Solution :–

First, we factorise this equation :-

{3x}^{2} - 12x3x2−12x

3( {x}^{2} - 4x)3(x2−4x)

3x(x - 4)3x(x−4)

After factorisation the volume = 3x(x - 4)

We know that,

\tt \red {volume \: of \: cuboid = l \times b \times h}volumeofcuboid=l×b×h

Possible dimensions can be,

Length = 3

Breadth = x

Height = x - 4