Individual or Group Work
1. Emily has a stack of books. The length of each book is 22 centimeters and the width of each book is 17 centimeters. The height of the stack of books is 12 centimeters. Emily wants to store the books in a box. What is the volume of a box Emily will need? Show how you found your answer.
2. Jasper has a carton. The length of the carton is 3 feet, the width is 4 feet, and the height is 5 feet. What is the volume of the carton?
3. Reese has 2 containers. The area of the base of one container is 15 square inches and the height is 4 inches. The other container has a length of 6 inches, a width of 2 inches, and a height of 5 inches. Do the containers have equal volume? Show how you found your answer.
4. Jack has 12 blocks. The length of each block is 2 inches, the width is 3 inches, the height is 1 inch. Jack has a box that has a volume of 60 cubic inches. Can Jack store all 12 blocks in the box? Show how you found your answer.
- 22 x 17 x 12 = 4,488 cubic centimeters
- 3 x 4 x 5 = 60 cubic feet or 3 x 4 = 12, 12 x 5 = 60 cubic feet
- Yes, 15 x 4 = 60 cubic inches and 6 x 2 x 5 = 60 cubic inches
- No, each block has a volume of 2 x 3 x 1 = 6 cubic inches. To hold 12 blocks, the box would need to have a volume of 72 cubic inches
Students should be able to apply the formulas V = l x w x h and V = b x h to find volumes of rectangular prisms.
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