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9:19 AM Tue Feb 4 \( 25 \% \) learnx-svc.k12.com Back Lesson 8.1 - Mid-Year Test, Part 1 Caleb Menu SEMESTER TEST Mid-Year Test Part 1 More Read Focus Which statement describes a unit cube? a cube that is 4 inches long, 4 inches wide, and 4 inches high a cube that is 1 foot long, 1 foot wide, and 1 foot high a cube that is 1 centimeter long, 1 foot wide, and 1 yard high a cube that is 5 centimeters long, 5 centimeters wide, and 5 centimeters high 16 17 18 19 20 21 22 23 24 25

Ask by Lambert Wyatt. in the United States
Feb 04,2025

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A unit cube has all sides equal to 1 unit. None of the given options describe a unit cube because their sides are not all 1 unit in length.

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To determine which statement describes a unit cube, we need to understand the definition of a unit cube. A unit cube is a cube where all sides are of equal length, and the length of each side is typically defined as 1 unit in a given measurement system. Let's analyze each option: 1. **A cube that is 4 inches long, 4 inches wide, and 4 inches high**: This cube has all sides equal, but each side is 4 inches, not 1 unit. Therefore, this is not a unit cube. 2. **A cube that is 1 foot long, 1 foot wide, and 1 foot high**: This cube has all sides equal, and each side is 1 foot. While it is a cube, it is not a unit cube in the standard sense, as the unit is typically considered to be 1 unit (not 1 foot). 3. **A cube that is 1 centimeter long, 1 foot wide, and 1 yard high**: This cube does not have equal sides, so it cannot be a unit cube. 4. **A cube that is 5 centimeters long, 5 centimeters wide, and 5 centimeters high**: This cube has all sides equal, but each side is 5 centimeters, not 1 unit. Therefore, this is not a unit cube. None of the options provided describe a unit cube, as a unit cube should have all sides equal to 1 unit in any measurement system (e.g., 1 cm, 1 inch, 1 foot, etc.). If you have any further questions or need clarification, feel free to ask!

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A unit cube is a special cube that measures exactly one unit in length, width, and height. Unlike the options listed, which feature varying dimensions, a unit cube can be represented in any measurement system, like a 1 cm x 1 cm x 1 cm cube in metric or a 1 inch x 1 inch x 1 inch cube in customary units. This makes it a fundamental building block in geometry! Unit cubes are not just mathematical concepts; they have real-world applications in packaging, architecture, and even gaming! For instance, when building a 3D model or designing a structure, understanding how many unit cubes fit into a given space helps architects visualize volume and area. It’s crucial in fields such as engineering and design!

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