Question

The volume of Olivia's rectangular lunchbox is 240 cubic inches. The lunchbox is 3 inches deep and it's length is 2 inches more than its width. What is the width of Olivia lunchbox ?

Answer 1

≡QUESTION≡

The volume of Olivia's rectangular lunchbox is 240 cubic inches. The lunchbox is 3 inches deep and it's length is 2 inches more than its width. What is the width of Olivia lunchbox ?

                                                           

║⊕ANSWER⊕║

GIVEN

Let x be the width

The length = x + 2

Volume = 240 in³

Depth = 3 inches

Volume = Length x Breadth x Height

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

80 = x² + 2x

x² + 2x - 80 = 0

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

x = 8 or x = -10 (rejected, x cannot be negative)

∴ Width of Olivia's Lunchbox = 8 inches

                                                           

Answer 2

Answer:

Width of the lunchbox is 8 inches

Step-by-step explanation:

Volume of the lunchbox V = 240 cubic inches

Height of lunch box h = 3 inches

let Width of lunch box b = x inches

Length of the lunch box l = x+2 inches

Volume of the rectangular box is

$V= l b h\\240=(x+2)\times x\times 3\\(x+2)\times x =80\\x^2+2x-80 = 0\\x^2+10x-8x-80=0\\x(x+10)-8(x+10)=0\\(x+10)(x-8)= 0\\x= -10\\ or\\x=8 inches$

Width of the lunchbox is 8 inches