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Find the volume of a cube whose edge is ...

Find the volume of a cube whose edge is 10 cm.

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To find the volume of a cube whose edge is 10 cm, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the formula for the volume of a cube**: The volume \( V \) of a cube can be calculated using the formula: \[ V = a^3 \] where \( a \) is the length of an edge of the cube. 2. **Substitute the value of the edge**: In this case, the edge \( a \) is given as 10 cm. So, we substitute this value into the formula: \[ V = (10 \, \text{cm})^3 \] 3. **Calculate the cube of the edge length**: Now we calculate \( 10^3 \): \[ 10^3 = 10 \times 10 \times 10 = 1000 \] 4. **Write the final volume with the correct unit**: Since the edge length is in centimeters, the volume will be in cubic centimeters. Therefore, the volume of the cube is: \[ V = 1000 \, \text{cm}^3 \] ### Final Answer: The volume of the cube is \( 1000 \, \text{cm}^3 \). ---
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