Unit 1, Section C
Volumes of Solid Figures
Grade 5
Practice
Problem 1
What is the volume of this figure? Explain or show your reasoning.
Prism: 3 cubes by 5 cubes by 4 cubes. Additional cubes: two of three cubes attached to front, one cube on top of row of three cubes.
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Problem 2
Find the volume of the figure. Explain or show your reasoning.
6-sided rectangular prism. Straight sides. All side lengths meet at right angles. Side lengths. Bottom, unlabeled length. Right side rises unlabeled length, then goes left 3 inches, goes up 2 inches, then goes left an 5 inches, then goes down 3 inches. Width shown as 4 inches.
Problem 3
Find the volume of the figure. Explain or show your reasoning.
Two rectangular prisms, one in front of the other. Front prism: 8 feet by 5 feet by 4 feet. Back prism: 4 feet by 6 feet by 4 feet.
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Problem 4
This is a diagram of a bedroom. What is the volume of the bedroom? Explain or show your reasoning.
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Problem 5
Exploration
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Han says that the volume of this rectangular prism is 50 times as great as a 2-inch cube. Do you agree with Han? Explain or show your reasoning.
- Han says that he can fit fifty 2-inch cubes in this rectangular prism. Do you agree with Han? Explain or show your reasoning.
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