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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Packaging is one important feature in producing quality products. A box designer needs to produce a package for a product in the shapes of the pyramid with

a square base having a total volume of 200 cubic inches. The height of the package must be 4 inches less than the length of the base. Find the dimensions of the product.

Let X be the length of the base and X - 4 be the height. Since area of the base is equal to X^2, we get: V = (1/3)(X^2)(X - 4) --> 200 = (1/3)(X^2)(X - 4) --> 600 = (X^2)(X - 4) --> 0 = X^3 - 4X^2 - 600 --> X = -3, -3, 1, 10. Since we can't use -3 and 1 since it will result to a negative product if we use it in the equation, we use 10. So we have: height: 6 in, length and width of square base: 10 in. (10 in x 10 in x 6 in)