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Answer :
It seems like there's a mix-up here because the question is asking for a conversion from millimeters, which is a unit of length, to deciliters, which is a unit of volume. A direct conversion between these two types of measurements isn't possible.
However, if we imagine the 10 millimeters as the side length of a cube, we can calculate the volume in terms of how many deciliters it could fill.
Here's how we can think about it step-by-step:
1. Convert Millimeters to Centimeters: Since 1 centimeter is equal to 10 millimeters, the side length of the cube can be converted from 10 millimeters to 1 centimeter.
2. Calculate the Volume of a Cube: The volume of a cube is found by cubing the side length. So, if the side length is 1 centimeter, then the volume is [tex]\(1 \, \text{cm} \times 1 \, \text{cm} \times 1 \, \text{cm} = 1 \, \text{cubic centimeter}\)[/tex].
3. Convert Cubic Centimeters to Deciliters: We know that 1 deciliter is equal to 100 cubic centimeters. So, to convert 1 cubic centimeter to deciliters, we divide by 100. This gives us 0.01 deciliters.
So, if 10 millimeters represents the side of a cube, the volume of that cube would be 0.01 deciliters.
However, if we imagine the 10 millimeters as the side length of a cube, we can calculate the volume in terms of how many deciliters it could fill.
Here's how we can think about it step-by-step:
1. Convert Millimeters to Centimeters: Since 1 centimeter is equal to 10 millimeters, the side length of the cube can be converted from 10 millimeters to 1 centimeter.
2. Calculate the Volume of a Cube: The volume of a cube is found by cubing the side length. So, if the side length is 1 centimeter, then the volume is [tex]\(1 \, \text{cm} \times 1 \, \text{cm} \times 1 \, \text{cm} = 1 \, \text{cubic centimeter}\)[/tex].
3. Convert Cubic Centimeters to Deciliters: We know that 1 deciliter is equal to 100 cubic centimeters. So, to convert 1 cubic centimeter to deciliters, we divide by 100. This gives us 0.01 deciliters.
So, if 10 millimeters represents the side of a cube, the volume of that cube would be 0.01 deciliters.
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