Question: A rectangular prism has height 4in, width Sin, and depth Sin. We make a scaled version of this box where the new height is 12in.

A rectangular prism has height 4in, width Sin, and depth Sin. We make a scaled version of this box where the new height is 12in. Fill in the blanks below with regard to this situation. To find the volume of the new box, we start by thinking about the volume of the original box. It takes cubic inches to fill the box completely. Take out one of the cubic inches and look at it! The scale factor from our smaller box to our larger box is , so if we scale this unit of volume in the same way, we multiply each side length of the cubic inch by .ln other words, we can fit cubic inches inside the "scaled version" of EACH of our old cubic inches. Finally, since each cubic inch got scaled the same way, we can use multiplication to find that the volume of the new box is cubic inches, which is times larger than our original volume
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