To find the volume of a square prism (rectangular prism with a square base), you can use the formula:
\[ V = S^2 \times H \]
where \( S \) is the length of each side of the square base and \( H \) is the height of the prism.
Given the values:
- \( S = 4 , \text{cm} \)
- \( H = 6 , \text{cm} \)
Now, plug the values into the formula:
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Calculate \( S^2 \): \[ S^2 = 4^2 = 16 , \text{cm}^2 \]
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Now, multiply by the height \( H \): \[ V = 16 , \text{cm}^2 \times 6 , \text{cm} = 96 , \text{cm}^3 \]
So, the volume of the square prism is \( \mathbf{96} , \text{cubic centimeters} \).
The correct answer is B) 96 cubic centimeters.
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