A lunch box has a volume of 221 inches 3. The height is 4 in. And the width is 6 1/2 in. What is the length

V = lwh

221^3 = 3 * 6.5 * L

221^3/ 19.5 = l

12/221

To find the length of the lunch box, we can use the formula for volume of a rectangular prism:

Volume = length * width * height

We are given the volume as 221 inches^3, the height as 4 inches, and the width as 6 1/2 inches.

Substituting the given values into the formula, we have:

221 in^3 = length * 6 1/2 in * 4 in

To solve for length, we can divide both sides of the equation by (6 1/2 in * 4 in):

221 in^3 / (6 1/2 in * 4 in) = length

Simplifying the right side of the equation:

221 in^3 / (26/2 in) = length
221 in^3 / (13 in) = length

Calculating the value:

length ≈ 17 inches

Therefore, the length of the lunch box is approximately 17 inches.

V=lwh

221=(L)(6.5)(4)
You are solving for the Length so simplify the right hand side first
221 =26L then divide both sides by 26 to find the answer to the length
(221/26) = L