Unit 1, Lesson 9
Measure Figures Made from Prisms
Grade 5
Warm-up
Find the value of each expression mentally.
Activity 1
6-sided rectangular prism. Straight sides. All side lengths meet at right angles. Side lengths. Bottom, 7 feet. Right side rises 5 feet, then goes left 5 feet, goes up an unlabeled length, then goes left an unlabeled length, then goes down 7 feet. Width shown as 2 feet.
Partner A: Find the volume of Figure 1.
8-sided figure. Straight sides. All side lengths meet at right angles. Width shown as 2 feet. Side lengths. Bottom, 7 feet. Right side rises 5 frrt, then goes left 5 feet, goes up an unknown length, goes left an unknown length, and goes down 7 feet.
Partner B: Find the volume of Figure 2.
8-sided figure. Straight sides. All side lengths meet at right angles. Width length, 7 inches. Side lengths. Bottom, 5 inches. Right side rises 5 inches, then goes left 9 inches. Then goes down left side 3 inches, then goes right 4 inches, then down 2 inches to meet the bottom side.
Activity 2
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Explain how each expression represents the volume of the figure. Show your reasoning. Organize your work so it can be followed by others.
Figure composed of two rectangular prisms. Front prism: 3 cubes by 3 cubes by 3 cubes. Back prism: 2 cubes by 4 cubes by 3 cubes. -
How does each expression represent the volume of the prism? Explain or show your reasoning. Organize your work so it can be followed by others.
- cubic inches
- cubic inches
8-sided figure. Straight sides. All side lengths meet at right angles. Side lengths. Bottom, unlabeled length. Right side rises 6 inches, then goes left 8 inches, then goes up 3 inches, and then goes left 4 inches. Left side, unlabeled length. Width shown as 5 inches.