Question

For my project, I'm making a scale model of a juice box! Strange? yep! Weird? yep! Unique? and yep! The real juice box that I chose is the standard type, which measures about 6 inches tall, 2.5 inches wide, and 2 inches deep. A juice box usually comes with a straw, so the typical length of a juice box straw is about 5 inches. I will be using a scale factor of 2, which means I’m going to make each dimension of the juice box twice as big as the original. The main part of the juice box is rectangular, so I’ll be focusing on its height, width, and depth for the juice box and the length for the straw. The height is 6, width is 2.5, depth is 2 and length (for the straw) is 5. So multiply those four is 12h, 5w, 4d, and 10l. I might also want to find out how much space my juice box takes up. I can use the volume formula for a rectangular prism. the formula is V = height × width × depth, so for the original juice box: Volume = 6 in × 2.5 in × 2 in = 30 in^3, now for the scale model is volume = 12 in × 5 in × 4 in = 240 in^3. The math skills that I used for this problem are multiplication, proportional relationships, and calculating the volume. I used google to find a model and used the lessons that I learned from past to present for the rest. Now I have a juice box that is twice as large as the original, so yum!
can you shorten it

Answer 1

I'm creating a unique scale model of a juice box! The original juice box measures 6 inches tall, 2.5 inches wide, and 2 inches deep, with a typical straw length of 5 inches. Using a scale factor of 2, my model's dimensions will be 12 inches tall, 5 inches wide, 4 inches deep, and the straw will be 10 inches long.

To find the volume, I applied the formula for a rectangular prism: V = height × width × depth. The original juice box has a volume of 30 in³, while my scale model has a volume of 240 in³. The math skills involved include multiplication, proportional relationships, and volume calculations. In the end, I have a juice box that's twice the size of the original—yum!