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Grade 5 Math · World 1: Cube Warehouse · Level 8
Volume Stories
Solve packing problems and write the steps as an expression, such as (4 × 3) × 5.
Warm-up, learn, try it together, practice, then a quick check. About 15 minutes.
What children learn in Level 8
- Volume shows up all over. Say a toy chest is 5 feet long, 2 feet wide, and 3 feet high. How much space is inside?
- Write an expression that shows your thinking. The base is 5 times 2, in parentheses, and there are 3 layers.
- Work out the parentheses first, and the rest follows. That's 10 times 3, so the chest holds 30 cubic feet.
- Expressions can show stories too. If each layer has 12 cubes, with 2 red layers and 3 blue layers, the parentheses add the layers before you multiply.
- Try it with a grown-up. Measure a real box with a ruler, and work out how many inch cubes would fill it.
Georgia's K-12 Mathematics Standards:
- 5.GSR.8.4 — Discover and explain how the volume of a right rectangular prism can be found by multiplying the area of the base times the height to solve authentic, mathematical problems.
- 5.NR.5.1 — Write, interpret, and evaluate simple numerical expressions involving whole numbers with or without grouping symbols to represent actual situations.