Hi Martha, if your recipe offers a weight amount for the zucchini, you can definitely use an equal amount of shredded zucchini. With cup measurements the difference might be slightly more pronounced between shredded and diced zucchini, but as Posie points out, exact precision isn't necessary when measuring this ingredient, and you'll just looking for "roughly the right amount of zucchini," so you should be fine with an equal amount by cups as well. 

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