Question

· The volume of Olivia's rectangular lunchbox is 240 cubic inches. The lunchbox has a height of 3 inches, and its length is 2 inches more than its width. How wide is Olivia's ...

Answer 1

240 divided by 3 divided by 2 = 40in

Answer 2

The volume of a cuboid is = length × width × height.

Let the width of Olivia's lunch box be 'x'.

Hence the length of Olivia's lunch box shall be 'x + 2'

Also the height of the box is given as 3 inches.

The volume of the box is 240 in³

Substituting in the formula we get

`x(x+2)(3) =240`

Dividing by 3 on both sides

`x(x+2)=80`

Exapnding we get

`x^2+2x=80`

Subtracting 80 from both sides

`x^2+2x-80=0`

Factoring

`(x+10)(x-8)=0`

We get

x= -10 or x = 8

But x cannot be negative

So x = 8

Hence the width of the box is 8 inches.