Question

If the volume of a cuboid is 2x^2-8,then find its possible dimensions.(1mark)

Answer 1

Step-by-step explanation:

2xsquare-16=2(xsquare-8)=2.(x-2√2).(x+2√2)

Answer 2

Given:

If the volume of a cuboid is 2x^2-8

To Find:

find its possible dimensions

Solution:

A cuboid is a 3-dimensional figure of the 2- dimensional shape rectangle.

The volume of cuboid is given by,

V=l*b*h

where l is length, b is the breadth and h is height.

Now we are given an equation and we need to find the possible dimensions of the cuboid,

We will need to factorize the equation, which goes as,

[tex]=2x^2-8\\ =2(x^2-4)\\ =2(x-2)(x+2)[/tex]

Using the identity (x^2-y^2)=(x-y)(x+y), so the possible dimensions of the cubiod will be,

2*(x-2)*(x+2)

Hence, the dimensions are 2*(x-2)*(x+2).