A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the volume of the delivery box to be 224 cubic inches. If the width of the delivery box is 3 inches longer than the length and the height is 4 inches longer than the length, what must the length of the delivery box be? 3 inches
7 inches
8 inches
4 inches

4 inches.

Step-by-step explanation:

Let l = length, w = width, and h = height

    The formula for the volume of a rectangular solid would be V = lwh. We are tasked with finding the length of the delivery box. In order to find the length, we need to change the variables so that l is the only variable in the equation.

    The prompt tells us that the width of the box is 3 inches longer than the length. That means that w = l + 3. Likewise, the prompt also informs us that the height is 4 inches longer than the length. Therefore, h = l + 4.

    Now that the variables have been changed so that l is the only variable, we can finally solve for l.

    After factoring, we are left with (l - 4)(l² + 11l + 56) = 0. Ultimately, by using the quadratic formula, l² + 11l + 56 = 0 will have imaginary number solutions. However, l - 4 = 0 gives us l = 4. Therefore, the length of the delivery box is 4 inches.

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.