One cubic meter represents a cube-shaped space measuring 1 meter in all three dimensions. How long is each side in centimeters?
A. 1
B. 10
C. 100
D. 1,000
Answer (2)
Recognize that 1 cubic meter implies each side measures 1 meter.
Recall the conversion factor: 1 meter equals 100 centimeters.
Convert the side length from meters to centimeters using multiplication: 1 × 100 = 100 .
Conclude that each side is 100 centimeters.
Explanation
Problem Analysis Let's analyze the problem. We are given that a cube-shaped space measures 1 meter in all three dimensions. We need to find the length of each side in centimeters.
Conversion Factor We know that 1 meter is equal to 100 centimeters. Therefore, to convert the side length from meters to centimeters, we multiply the side length in meters by the conversion factor.
Calculation The side length is 1 meter. To convert this to centimeters, we perform the following calculation: 1 meter × 100 meter centimeters = 100 centimeters So, each side of the cube is 100 centimeters long.
Final Answer Therefore, each side of the cube is 100 centimeters long.
Examples
Imagine you're building a cubic storage box and you know it needs to be 1 meter on each side. To buy the right amount of wood, you need to know the dimensions in centimeters. Since 1 meter equals 100 centimeters, each side of your box will be 100 centimeters long. This conversion is crucial for accurate measurements and material procurement in construction and DIY projects.
Each side of a cube that measures 1 cubic meter is 100 centimeters long, as 1 meter equals 100 centimeters. Therefore, the correct choice is C. 100.
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