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Geometry and Trigonometry / Area and volume Difficulty: Medium

A cube has an edge length of $41$ inches. What is the volume, in cubic inches, of the cube?

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Explanation

Choice D is correct. The volume, $V$ , of a cube can be found using the formula $V = s^{3}$ , where $s$ is the edge length of the cube. It's given that a cube has an edge length of $41$ inches. Substituting $41$ inches for $s$ in this equation yields $upper V equals 41 cubed$ cubic inches, or $upper V equals 68,921$ cubic inches. Therefore, the volume of the cube is $68,921$ cubic inches.

Choice A is incorrect. This is the perimeter, in inches, of the cube.

Choice B is incorrect. This is the area, in square inches, of a face of the cube.

Choice C is incorrect. This is the surface area, in square inches, of the cube.