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xz_007 [3.2K]
4 years ago
10

· The volume of Olivia's rectangular lunchbox is 240 cubic inches. The lunchbox has a height of 3 inches, and its length is 2 in

ches more than its width. How wide is Olivia's ...
Mathematics
2 answers:
miskamm [114]4 years ago
7 0

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.

Agata [3.3K]4 years ago
7 0
240 divided by 3 divided by 2 = 40in
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