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A cube has a volume of 125 cubic inches. What is the length of each edge Enter your answer in the box.

Ask by Dickson Marsh. in the United States
Jan 24,2025

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Answer

Each edge of the cube is 5 inches long.

Solution

5 inches

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To find the length of each edge of a cube with a volume of 125 cubic inches, you can use the formula for the volume of a cube, which is V = s³, where V is the volume and s is the length of one edge. By rearranging the formula to s = V^(1/3), you find that s = 125^(1/3) = 5 inches. So, each edge of the cube is 5 inches long! Did you know that cubes have fascinated mathematicians for centuries? The ancient Greeks studied them extensively, and Plato even associated the cube with the element of Earth in his theory of the four classical elements. Just imagine how they would marvel at today's geometrical tools and 3D modeling software! In everyday life, cubes are everywhere—from dice to sugar cubes! Understanding their properties helps in design and architecture by ensuring structural integrity. Plus, calculating volume plays a crucial role in everything from shipping products to determining how much space a new couch will take up in your living room! So, the next time you see a cube, remember its importance and the math behind it!

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