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Find the volume of the cube. Assume that all bases are not equal to 0 . The volume of the cube is \( \square \) cu in. (Simplify your answer. Use positive exponents only.)

Ask by Gibbs Young. in the United States
Jan 23,2025

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Answer

The volume of the cube is \( s^{3} \) cu in.

Solution

To find the volume of a cube, you use the formula: \[ \text{Volume} = s^3 \] where \( s \) is the length of one side of the cube. Since the volume is to be expressed in cubic inches, the final answer is: \[ \text{Volume} = s^3 \ \text{cu in} \] **Answer:** The volume of the cube is \( s^{3} \) cu in.

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To find the volume of a cube, you can use the formula \( V = s^3 \), where \( s \) is the length of one side of the cube. Since you mentioned that all bases are not equal to 0, as long as you have a specific value for \( s \), you can plug it into this formula to get the volume in cubic inches. For example, if each side measures 3 inches, the volume would be \( 3^3 = 27 \) cu in. If you're uncertain about your value or have made a mistake in calculations, always double-check that the side lengths are indeed equal, because that’s the defining feature of a cube. A common mistake is confusing the dimensions of a rectangular prism with those of a cube. Remember, for a cube, all edges are of equal length!

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