Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are 4...
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Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are 4 inches long, 4 inches wide, and 8 inches tall. To transport the items to an event, you want to know how many of the small boxes will fit in larger boxes. The larger boxes are available in two sizes. Large Box 1 is 24 inches long, 18 inches wide, and 24 inches tall. Large Box 2 is 20 inches long, 18 inches wide, and 24 inches tall. Both the small and large boxes must remain upright. 1. Find the volume of a small box. 2. Find the volume of Large Box 1. 3. Find the volume of Large Box 2. 4. Your friend uses division to determine that Large Box 1 can hold 64 small boxes and Large Box 2 can hold 56 small boxes. Explain the error in your friend's reasoning. How many small boxes can each large box hold? 5. You want to find a different size box that holds the same number of small boxes as Large Box 2, has a smaller surface area, and no unused space. What can the dimensions be? Explain. 6. You have decided to wrap the small boxes in colorful paper. How much wrapping paper (in square inches) will you need to wrap 50 of the small boxes? Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are 4 inches long, 4 inches wide, and 8 inches tall. To transport the items to an event, you want to know how many of the small boxes will fit in larger boxes. The larger boxes are available in two sizes. Large Box 1 is 24 inches long, 18 inches wide, and 24 inches tall. Large Box 2 is 20 inches long, 18 inches wide, and 24 inches tall. Both the small and large boxes must remain upright. 1. Find the volume of a small box. 2. Find the volume of Large Box 1. 3. Find the volume of Large Box 2. 4. Your friend uses division to determine that Large Box 1 can hold 64 small boxes and Large Box 2 can hold 56 small boxes. Explain the error in your friend's reasoning. How many small boxes can each large box hold? 5. You want to find a different size box that holds the same number of small boxes as Large Box 2, has a smaller surface area, and no unused space. What can the dimensions be? Explain. 6. You have decided to wrap the small boxes in colorful paper. How much wrapping paper (in square inches) will you need to wrap 50 of the small boxes?
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Related Book For
Excellence in Business Communication
ISBN: 978-0136103769
9th edition
Authors: John V. Thill, Courtland L. Bovee
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